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Finding the Fourth Proportional to 10,520.52, 15,783.84 and 3,947.22

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Solution

The fourth proportional to 10,520.52, 15,783.84 and 3,947.22 is: 5,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.52 : 15,783.84 = 3,947.22 : x
  2. Step 2: Convert to fraction form
    10,520.52/15,783.84 = 3,947.22/x
  3. Step 3: Cross multiply
    10,520.52x = 15,783.84 × 3,947.22
  4. Step 4: Simplify right side
    10,520.52x = 62,302,288.92
  5. Step 5: Solve for x
    x = 62,302,288.92/10,520.52
  6. Step 6: Final answer
    x = 5,921.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.