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Finding the Fourth Proportional to 1,561.92, 2,154.40 and 1,230.22

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Solution

The fourth proportional to 1,561.92, 2,154.40 and 1,230.22 is: 1,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.92 : 2,154.40 = 1,230.22 : x
  2. Step 2: Convert to fraction form
    1,561.92/2,154.40 = 1,230.22/x
  3. Step 3: Cross multiply
    1,561.92x = 2,154.40 × 1,230.22
  4. Step 4: Simplify right side
    1,561.92x = 2,650,385.97
  5. Step 5: Solve for x
    x = 2,650,385.97/1,561.92
  6. Step 6: Final answer
    x = 1,696.88

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Double scale
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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.