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Finding the Fourth Proportional to 10,510.92, 15,762.52 and 3,489.64

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Solution

The fourth proportional to 10,510.92, 15,762.52 and 3,489.64 is: 5,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.92 : 15,762.52 = 3,489.64 : x
  2. Step 2: Convert to fraction form
    10,510.92/15,762.52 = 3,489.64/x
  3. Step 3: Cross multiply
    10,510.92x = 15,762.52 × 3,489.64
  4. Step 4: Simplify right side
    10,510.92x = 55,005,520.29
  5. Step 5: Solve for x
    x = 55,005,520.29/10,510.92
  6. Step 6: Final answer
    x = 5,233.18

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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.