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Finding the Fourth Proportional to 15,735, 23,602.50 and 6,501.24

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Solution

The fourth proportional to 15,735, 23,602.50 and 6,501.24 is: 9,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735 : 23,602.50 = 6,501.24 : x
  2. Step 2: Convert to fraction form
    15,735/23,602.50 = 6,501.24/x
  3. Step 3: Cross multiply
    15,735x = 23,602.50 × 6,501.24
  4. Step 4: Simplify right side
    15,735x = 153,445,517.10
  5. Step 5: Solve for x
    x = 153,445,517.10/15,735
  6. Step 6: Final answer
    x = 9,751.86

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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.