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Finding the Fourth Proportional to 9,381.76, 12,948.16 and 5,932.64

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Solution

The fourth proportional to 9,381.76, 12,948.16 and 5,932.64 is: 8,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.76 : 12,948.16 = 5,932.64 : x
  2. Step 2: Convert to fraction form
    9,381.76/12,948.16 = 5,932.64/x
  3. Step 3: Cross multiply
    9,381.76x = 12,948.16 × 5,932.64
  4. Step 4: Simplify right side
    9,381.76x = 76,816,771.94
  5. Step 5: Solve for x
    x = 76,816,771.94/9,381.76
  6. Step 6: Final answer
    x = 8,187.88

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1.5x scale

Why These Related Problems?

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