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Finding the Fourth Proportional to 9,125.66, 12,593.39 and 5,146.80

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Solution

The fourth proportional to 9,125.66, 12,593.39 and 5,146.80 is: 7,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.66 : 12,593.39 = 5,146.80 : x
  2. Step 2: Convert to fraction form
    9,125.66/12,593.39 = 5,146.80/x
  3. Step 3: Cross multiply
    9,125.66x = 12,593.39 × 5,146.80
  4. Step 4: Simplify right side
    9,125.66x = 64,815,633.92
  5. Step 5: Solve for x
    x = 64,815,633.92/9,125.66
  6. Step 6: Final answer
    x = 7,102.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.