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Finding the Fourth Proportional to 9,149.25, 12,625.98 and 4,957.50

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Solution

The fourth proportional to 9,149.25, 12,625.98 and 4,957.50 is: 6,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.25 : 12,625.98 = 4,957.50 : x
  2. Step 2: Convert to fraction form
    9,149.25/12,625.98 = 4,957.50/x
  3. Step 3: Cross multiply
    9,149.25x = 12,625.98 × 4,957.50
  4. Step 4: Simplify right side
    9,149.25x = 62,593,295.85
  5. Step 5: Solve for x
    x = 62,593,295.85/9,149.25
  6. Step 6: Final answer
    x = 6,841.36

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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.