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Finding the Fourth Proportional to 9,947.76, 13,727.80 and 5,471.80

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Solution

The fourth proportional to 9,947.76, 13,727.80 and 5,471.80 is: 7,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.76 : 13,727.80 = 5,471.80 : x
  2. Step 2: Convert to fraction form
    9,947.76/13,727.80 = 5,471.80/x
  3. Step 3: Cross multiply
    9,947.76x = 13,727.80 × 5,471.80
  4. Step 4: Simplify right side
    9,947.76x = 75,115,776.04
  5. Step 5: Solve for x
    x = 75,115,776.04/9,947.76
  6. Step 6: Final answer
    x = 7,551.02

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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.