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Finding the Fourth Proportional to 9,414.60, 12,992.34 and 5,381.16

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Solution

The fourth proportional to 9,414.60, 12,992.34 and 5,381.16 is: 7,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.60 : 12,992.34 = 5,381.16 : x
  2. Step 2: Convert to fraction form
    9,414.60/12,992.34 = 5,381.16/x
  3. Step 3: Cross multiply
    9,414.60x = 12,992.34 × 5,381.16
  4. Step 4: Simplify right side
    9,414.60x = 69,913,860.31
  5. Step 5: Solve for x
    x = 69,913,860.31/9,414.60
  6. Step 6: Final answer
    x = 7,426.11

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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.