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Finding the Fourth Proportional to 9,391.46, 12,960.21 and 5,854.68

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Solution

The fourth proportional to 9,391.46, 12,960.21 and 5,854.68 is: 8,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.46 : 12,960.21 = 5,854.68 : x
  2. Step 2: Convert to fraction form
    9,391.46/12,960.21 = 5,854.68/x
  3. Step 3: Cross multiply
    9,391.46x = 12,960.21 × 5,854.68
  4. Step 4: Simplify right side
    9,391.46x = 75,877,882.28
  5. Step 5: Solve for x
    x = 75,877,882.28/9,391.46
  6. Step 6: Final answer
    x = 8,079.46

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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.