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Finding the Fourth Proportional to 8,644.76, 12,884.90 and 8,152.64

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Solution

The fourth proportional to 8,644.76, 12,884.90 and 8,152.64 is: 12,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.76 : 12,884.90 = 8,152.64 : x
  2. Step 2: Convert to fraction form
    8,644.76/12,884.90 = 8,152.64/x
  3. Step 3: Cross multiply
    8,644.76x = 12,884.90 × 8,152.64
  4. Step 4: Simplify right side
    8,644.76x = 105,045,951.14
  5. Step 5: Solve for x
    x = 105,045,951.14/8,644.76
  6. Step 6: Final answer
    x = 12,151.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.