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Finding the Fourth Proportional to 8,909.28, 12,346.92 and 8,784

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Solution

The fourth proportional to 8,909.28, 12,346.92 and 8,784 is: 12,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.28 : 12,346.92 = 8,784 : x
  2. Step 2: Convert to fraction form
    8,909.28/12,346.92 = 8,784/x
  3. Step 3: Cross multiply
    8,909.28x = 12,346.92 × 8,784
  4. Step 4: Simplify right side
    8,909.28x = 108,455,345.28
  5. Step 5: Solve for x
    x = 108,455,345.28/8,909.28
  6. Step 6: Final answer
    x = 12,173.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.