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Finding the Fourth Proportional to 9,638.98, 14,458.49 and 4,959.61

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Solution

The fourth proportional to 9,638.98, 14,458.49 and 4,959.61 is: 7,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.98 : 14,458.49 = 4,959.61 : x
  2. Step 2: Convert to fraction form
    9,638.98/14,458.49 = 4,959.61/x
  3. Step 3: Cross multiply
    9,638.98x = 14,458.49 × 4,959.61
  4. Step 4: Simplify right side
    9,638.98x = 71,708,471.59
  5. Step 5: Solve for x
    x = 71,708,471.59/9,638.98
  6. Step 6: Final answer
    x = 7,439.43

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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.