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Finding the Fourth Proportional to 14,490.87, 21,727.97 and 7,728.11

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Solution

The fourth proportional to 14,490.87, 21,727.97 and 7,728.11 is: 11,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490.87 : 21,727.97 = 7,728.11 : x
  2. Step 2: Convert to fraction form
    14,490.87/21,727.97 = 7,728.11/x
  3. Step 3: Cross multiply
    14,490.87x = 21,727.97 × 7,728.11
  4. Step 4: Simplify right side
    14,490.87x = 167,916,186.90
  5. Step 5: Solve for x
    x = 167,916,186.90/14,490.87
  6. Step 6: Final answer
    x = 11,587.72

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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.