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Finding the Fourth Proportional to 9,179.46, 12,666.42 and 5,200.92

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Solution

The fourth proportional to 9,179.46, 12,666.42 and 5,200.92 is: 7,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.46 : 12,666.42 = 5,200.92 : x
  2. Step 2: Convert to fraction form
    9,179.46/12,666.42 = 5,200.92/x
  3. Step 3: Cross multiply
    9,179.46x = 12,666.42 × 5,200.92
  4. Step 4: Simplify right side
    9,179.46x = 65,877,037.11
  5. Step 5: Solve for x
    x = 65,877,037.11/9,179.46
  6. Step 6: Final answer
    x = 7,176.57

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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.