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Finding the Fourth Proportional to 1,866.13, 2,800.56 and 1,505.29

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Solution

The fourth proportional to 1,866.13, 2,800.56 and 1,505.29 is: 2,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.13 : 2,800.56 = 1,505.29 : x
  2. Step 2: Convert to fraction form
    1,866.13/2,800.56 = 1,505.29/x
  3. Step 3: Cross multiply
    1,866.13x = 2,800.56 × 1,505.29
  4. Step 4: Simplify right side
    1,866.13x = 4,215,654.96
  5. Step 5: Solve for x
    x = 4,215,654.96/1,866.13
  6. Step 6: Final answer
    x = 2,259.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.