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Finding the Fourth Proportional to 1,607.64, 2,217.15 and 1,082.76

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Solution

The fourth proportional to 1,607.64, 2,217.15 and 1,082.76 is: 1,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.64 : 2,217.15 = 1,082.76 : x
  2. Step 2: Convert to fraction form
    1,607.64/2,217.15 = 1,082.76/x
  3. Step 3: Cross multiply
    1,607.64x = 2,217.15 × 1,082.76
  4. Step 4: Simplify right side
    1,607.64x = 2,400,641.33
  5. Step 5: Solve for x
    x = 2,400,641.33/1,607.64
  6. Step 6: Final answer
    x = 1,493.27

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,608.64, 2,218.53 and 1,083.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.