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Finding the Fourth Proportional to 12,728.46, 19,089 and 5,332.71

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Solution

The fourth proportional to 12,728.46, 19,089 and 5,332.71 is: 7,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.46 : 19,089 = 5,332.71 : x
  2. Step 2: Convert to fraction form
    12,728.46/19,089 = 5,332.71/x
  3. Step 3: Cross multiply
    12,728.46x = 19,089 × 5,332.71
  4. Step 4: Simplify right side
    12,728.46x = 101,796,101.19
  5. Step 5: Solve for x
    x = 101,796,101.19/12,728.46
  6. Step 6: Final answer
    x = 7,997.52

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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.