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Finding the Fourth Proportional to 14,728.92, 20,319.31 and 9,947.31

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Solution

The fourth proportional to 14,728.92, 20,319.31 and 9,947.31 is: 13,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.92 : 20,319.31 = 9,947.31 : x
  2. Step 2: Convert to fraction form
    14,728.92/20,319.31 = 9,947.31/x
  3. Step 3: Cross multiply
    14,728.92x = 20,319.31 × 9,947.31
  4. Step 4: Simplify right side
    14,728.92x = 202,122,475.56
  5. Step 5: Solve for x
    x = 202,122,475.56/14,728.92
  6. Step 6: Final answer
    x = 13,722.83

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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.