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Finding the Fourth Proportional to 8,959.12, 12,385.24 and 8,211.90

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Solution

The fourth proportional to 8,959.12, 12,385.24 and 8,211.90 is: 11,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.12 : 12,385.24 = 8,211.90 : x
  2. Step 2: Convert to fraction form
    8,959.12/12,385.24 = 8,211.90/x
  3. Step 3: Cross multiply
    8,959.12x = 12,385.24 × 8,211.90
  4. Step 4: Simplify right side
    8,959.12x = 101,706,352.36
  5. Step 5: Solve for x
    x = 101,706,352.36/8,959.12
  6. Step 6: Final answer
    x = 11,352.27

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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.