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Finding the Fourth Proportional to 14,727, 20,323.11 and 8,758.53

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Solution

The fourth proportional to 14,727, 20,323.11 and 8,758.53 is: 12,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727 : 20,323.11 = 8,758.53 : x
  2. Step 2: Convert to fraction form
    14,727/20,323.11 = 8,758.53/x
  3. Step 3: Cross multiply
    14,727x = 20,323.11 × 8,758.53
  4. Step 4: Simplify right side
    14,727x = 178,000,568.63
  5. Step 5: Solve for x
    x = 178,000,568.63/14,727
  6. Step 6: Final answer
    x = 12,086.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.