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Finding the Fourth Proportional to 9,374.50, 12,947.44 and 6,385.15

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Solution

The fourth proportional to 9,374.50, 12,947.44 and 6,385.15 is: 8,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.50 : 12,947.44 = 6,385.15 : x
  2. Step 2: Convert to fraction form
    9,374.50/12,947.44 = 6,385.15/x
  3. Step 3: Cross multiply
    9,374.50x = 12,947.44 × 6,385.15
  4. Step 4: Simplify right side
    9,374.50x = 82,671,281.78
  5. Step 5: Solve for x
    x = 82,671,281.78/9,374.50
  6. Step 6: Final answer
    x = 8,818.75

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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.