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Finding the Fourth Proportional to 12,285.53, 16,949.22 and 7,561.61

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Solution

The fourth proportional to 12,285.53, 16,949.22 and 7,561.61 is: 10,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.53 : 16,949.22 = 7,561.61 : x
  2. Step 2: Convert to fraction form
    12,285.53/16,949.22 = 7,561.61/x
  3. Step 3: Cross multiply
    12,285.53x = 16,949.22 × 7,561.61
  4. Step 4: Simplify right side
    12,285.53x = 128,163,391.44
  5. Step 5: Solve for x
    x = 128,163,391.44/12,285.53
  6. Step 6: Final answer
    x = 10,432.06

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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.