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Finding the Fourth Proportional to 4,947.71, 7,409.85 and 4,294.90

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Solution

The fourth proportional to 4,947.71, 7,409.85 and 4,294.90 is: 6,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.71 : 7,409.85 = 4,294.90 : x
  2. Step 2: Convert to fraction form
    4,947.71/7,409.85 = 4,294.90/x
  3. Step 3: Cross multiply
    4,947.71x = 7,409.85 × 4,294.90
  4. Step 4: Simplify right side
    4,947.71x = 31,824,557.92
  5. Step 5: Solve for x
    x = 31,824,557.92/4,947.71
  6. Step 6: Final answer
    x = 6,432.19

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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.