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Finding the Fourth Proportional to 9,331.32, 13,992.90 and 4,947.78

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Solution

The fourth proportional to 9,331.32, 13,992.90 and 4,947.78 is: 7,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.32 : 13,992.90 = 4,947.78 : x
  2. Step 2: Convert to fraction form
    9,331.32/13,992.90 = 4,947.78/x
  3. Step 3: Cross multiply
    9,331.32x = 13,992.90 × 4,947.78
  4. Step 4: Simplify right side
    9,331.32x = 69,233,790.76
  5. Step 5: Solve for x
    x = 69,233,790.76/9,331.32
  6. Step 6: Final answer
    x = 7,419.51

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1.5x scale

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.