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Finding the Fourth Proportional to 8,963.92, 13,423.20 and 4,788.64

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Solution

The fourth proportional to 8,963.92, 13,423.20 and 4,788.64 is: 7,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.92 : 13,423.20 = 4,788.64 : x
  2. Step 2: Convert to fraction form
    8,963.92/13,423.20 = 4,788.64/x
  3. Step 3: Cross multiply
    8,963.92x = 13,423.20 × 4,788.64
  4. Step 4: Simplify right side
    8,963.92x = 64,278,872.45
  5. Step 5: Solve for x
    x = 64,278,872.45/8,963.92
  6. Step 6: Final answer
    x = 7,170.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.