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Finding the Fourth Proportional to 4,947.90, 7,411.05 and 4,400.70

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Solution

The fourth proportional to 4,947.90, 7,411.05 and 4,400.70 is: 6,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.90 : 7,411.05 = 4,400.70 : x
  2. Step 2: Convert to fraction form
    4,947.90/7,411.05 = 4,400.70/x
  3. Step 3: Cross multiply
    4,947.90x = 7,411.05 × 4,400.70
  4. Step 4: Simplify right side
    4,947.90x = 32,613,807.74
  5. Step 5: Solve for x
    x = 32,613,807.74/4,947.90
  6. Step 6: Final answer
    x = 6,591.44

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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.