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Finding the Fourth Proportional to 15,172.98, 22,762.53 and 6,407.88

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Solution

The fourth proportional to 15,172.98, 22,762.53 and 6,407.88 is: 9,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.98 : 22,762.53 = 6,407.88 : x
  2. Step 2: Convert to fraction form
    15,172.98/22,762.53 = 6,407.88/x
  3. Step 3: Cross multiply
    15,172.98x = 22,762.53 × 6,407.88
  4. Step 4: Simplify right side
    15,172.98x = 145,859,560.74
  5. Step 5: Solve for x
    x = 145,859,560.74/15,172.98
  6. Step 6: Final answer
    x = 9,613.11

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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.