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Finding the Fourth Proportional to 12,142.65, 16,755.62 and 8,957.68

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Solution

The fourth proportional to 12,142.65, 16,755.62 and 8,957.68 is: 12,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.65 : 16,755.62 = 8,957.68 : x
  2. Step 2: Convert to fraction form
    12,142.65/16,755.62 = 8,957.68/x
  3. Step 3: Cross multiply
    12,142.65x = 16,755.62 × 8,957.68
  4. Step 4: Simplify right side
    12,142.65x = 150,091,482.16
  5. Step 5: Solve for x
    x = 150,091,482.16/12,142.65
  6. Step 6: Final answer
    x = 12,360.69

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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.