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Finding the Fourth Proportional to 8,971.80, 12,378.78 and 5,434.32

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Solution

The fourth proportional to 8,971.80, 12,378.78 and 5,434.32 is: 7,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.80 : 12,378.78 = 5,434.32 : x
  2. Step 2: Convert to fraction form
    8,971.80/12,378.78 = 5,434.32/x
  3. Step 3: Cross multiply
    8,971.80x = 12,378.78 × 5,434.32
  4. Step 4: Simplify right side
    8,971.80x = 67,270,251.73
  5. Step 5: Solve for x
    x = 67,270,251.73/8,971.80
  6. Step 6: Final answer
    x = 7,497.97

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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.