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Finding the Fourth Proportional to 8,531.57, 12,843.43 and 7,673.30

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Solution

The fourth proportional to 8,531.57, 12,843.43 and 7,673.30 is: 11,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.57 : 12,843.43 = 7,673.30 : x
  2. Step 2: Convert to fraction form
    8,531.57/12,843.43 = 7,673.30/x
  3. Step 3: Cross multiply
    8,531.57x = 12,843.43 × 7,673.30
  4. Step 4: Simplify right side
    8,531.57x = 98,551,456.18
  5. Step 5: Solve for x
    x = 98,551,456.18/8,531.57
  6. Step 6: Final answer
    x = 11,551.38

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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.