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Finding the Fourth Proportional to 8,784, 12,121.92 and 5,057.92

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Solution

The fourth proportional to 8,784, 12,121.92 and 5,057.92 is: 6,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784 : 12,121.92 = 5,057.92 : x
  2. Step 2: Convert to fraction form
    8,784/12,121.92 = 5,057.92/x
  3. Step 3: Cross multiply
    8,784x = 12,121.92 × 5,057.92
  4. Step 4: Simplify right side
    8,784x = 61,311,701.61
  5. Step 5: Solve for x
    x = 61,311,701.61/8,784
  6. Step 6: Final answer
    x = 6,979.93

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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.