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Finding the Fourth Proportional to 2,354.83, 3,532.25 and 815.47

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Solution

The fourth proportional to 2,354.83, 3,532.25 and 815.47 is: 1,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.83 : 3,532.25 = 815.47 : x
  2. Step 2: Convert to fraction form
    2,354.83/3,532.25 = 815.47/x
  3. Step 3: Cross multiply
    2,354.83x = 3,532.25 × 815.47
  4. Step 4: Simplify right side
    2,354.83x = 2,880,443.91
  5. Step 5: Solve for x
    x = 2,880,443.91/2,354.83
  6. Step 6: Final answer
    x = 1,223.21

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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.