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Finding the Fourth Proportional to 1,902.64, 2,625.60 and 1,116.76

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Solution

The fourth proportional to 1,902.64, 2,625.60 and 1,116.76 is: 1,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.64 : 2,625.60 = 1,116.76 : x
  2. Step 2: Convert to fraction form
    1,902.64/2,625.60 = 1,116.76/x
  3. Step 3: Cross multiply
    1,902.64x = 2,625.60 × 1,116.76
  4. Step 4: Simplify right side
    1,902.64x = 2,932,165.06
  5. Step 5: Solve for x
    x = 2,932,165.06/1,902.64
  6. Step 6: Final answer
    x = 1,541.10

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,903.64, 2,626.98 and 1,117.76
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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.