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Finding the Fourth Proportional to 8,625.86, 12,947.82 and 7,644.95

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Solution

The fourth proportional to 8,625.86, 12,947.82 and 7,644.95 is: 11,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.86 : 12,947.82 = 7,644.95 : x
  2. Step 2: Convert to fraction form
    8,625.86/12,947.82 = 7,644.95/x
  3. Step 3: Cross multiply
    8,625.86x = 12,947.82 × 7,644.95
  4. Step 4: Simplify right side
    8,625.86x = 98,985,371.77
  5. Step 5: Solve for x
    x = 98,985,371.77/8,625.86
  6. Step 6: Final answer
    x = 11,475.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.