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Finding the Fourth Proportional to 9,163.89, 12,646.17 and 4,972.14

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Solution

The fourth proportional to 9,163.89, 12,646.17 and 4,972.14 is: 6,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.89 : 12,646.17 = 4,972.14 : x
  2. Step 2: Convert to fraction form
    9,163.89/12,646.17 = 4,972.14/x
  3. Step 3: Cross multiply
    9,163.89x = 12,646.17 × 4,972.14
  4. Step 4: Simplify right side
    9,163.89x = 62,878,527.70
  5. Step 5: Solve for x
    x = 62,878,527.70/9,163.89
  6. Step 6: Final answer
    x = 6,861.55

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1.5x scale

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.