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Finding the Fourth Proportional to 10,728.72, 14,773.19 and 9,727.70

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Solution

The fourth proportional to 10,728.72, 14,773.19 and 9,727.70 is: 13,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.72 : 14,773.19 = 9,727.70 : x
  2. Step 2: Convert to fraction form
    10,728.72/14,773.19 = 9,727.70/x
  3. Step 3: Cross multiply
    10,728.72x = 14,773.19 × 9,727.70
  4. Step 4: Simplify right side
    10,728.72x = 143,709,037.86
  5. Step 5: Solve for x
    x = 143,709,037.86/10,728.72
  6. Step 6: Final answer
    x = 13,394.80

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1.5x scale

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.