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Finding the Fourth Proportional to 8,973.78, 12,382.92 and 5,436.78

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Solution

The fourth proportional to 8,973.78, 12,382.92 and 5,436.78 is: 7,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.78 : 12,382.92 = 5,436.78 : x
  2. Step 2: Convert to fraction form
    8,973.78/12,382.92 = 5,436.78/x
  3. Step 3: Cross multiply
    8,973.78x = 12,382.92 × 5,436.78
  4. Step 4: Simplify right side
    8,973.78x = 67,323,211.80
  5. Step 5: Solve for x
    x = 67,323,211.80/8,973.78
  6. Step 6: Final answer
    x = 7,502.21

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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.