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Finding the Fourth Proportional to 8,436.27, 11,642.10 and 4,659.39

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Solution

The fourth proportional to 8,436.27, 11,642.10 and 4,659.39 is: 6,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.27 : 11,642.10 = 4,659.39 : x
  2. Step 2: Convert to fraction form
    8,436.27/11,642.10 = 4,659.39/x
  3. Step 3: Cross multiply
    8,436.27x = 11,642.10 × 4,659.39
  4. Step 4: Simplify right side
    8,436.27x = 54,245,084.32
  5. Step 5: Solve for x
    x = 54,245,084.32/8,436.27
  6. Step 6: Final answer
    x = 6,429.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.