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Finding the Fourth Proportional to 9,116.52, 12,580.84 and 5,341.92

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Solution

The fourth proportional to 9,116.52, 12,580.84 and 5,341.92 is: 7,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.52 : 12,580.84 = 5,341.92 : x
  2. Step 2: Convert to fraction form
    9,116.52/12,580.84 = 5,341.92/x
  3. Step 3: Cross multiply
    9,116.52x = 12,580.84 × 5,341.92
  4. Step 4: Simplify right side
    9,116.52x = 67,205,840.81
  5. Step 5: Solve for x
    x = 67,205,840.81/9,116.52
  6. Step 6: Final answer
    x = 7,371.87

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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.