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Finding the Fourth Proportional to 9,201.62, 13,869.74 and 8,412.78

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Solution

The fourth proportional to 9,201.62, 13,869.74 and 8,412.78 is: 12,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.62 : 13,869.74 = 8,412.78 : x
  2. Step 2: Convert to fraction form
    9,201.62/13,869.74 = 8,412.78/x
  3. Step 3: Cross multiply
    9,201.62x = 13,869.74 × 8,412.78
  4. Step 4: Simplify right side
    9,201.62x = 116,683,071.28
  5. Step 5: Solve for x
    x = 116,683,071.28/9,201.62
  6. Step 6: Final answer
    x = 12,680.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.