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Finding the Fourth Proportional to 8,601.78, 12,884.42 and 4,902.10

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Solution

The fourth proportional to 8,601.78, 12,884.42 and 4,902.10 is: 7,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.78 : 12,884.42 = 4,902.10 : x
  2. Step 2: Convert to fraction form
    8,601.78/12,884.42 = 4,902.10/x
  3. Step 3: Cross multiply
    8,601.78x = 12,884.42 × 4,902.10
  4. Step 4: Simplify right side
    8,601.78x = 63,160,715.28
  5. Step 5: Solve for x
    x = 63,160,715.28/8,601.78
  6. Step 6: Final answer
    x = 7,342.75

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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.