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Finding the Fourth Proportional to 9,960.54, 14,947.71 and 4,117.20

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Solution

The fourth proportional to 9,960.54, 14,947.71 and 4,117.20 is: 6,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.54 : 14,947.71 = 4,117.20 : x
  2. Step 2: Convert to fraction form
    9,960.54/14,947.71 = 4,117.20/x
  3. Step 3: Cross multiply
    9,960.54x = 14,947.71 × 4,117.20
  4. Step 4: Simplify right side
    9,960.54x = 61,542,711.61
  5. Step 5: Solve for x
    x = 61,542,711.61/9,960.54
  6. Step 6: Final answer
    x = 6,178.65

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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.