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Finding the Fourth Proportional to 12,158.51, 16,785.90 and 7,974.05

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Solution

The fourth proportional to 12,158.51, 16,785.90 and 7,974.05 is: 11,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.51 : 16,785.90 = 7,974.05 : x
  2. Step 2: Convert to fraction form
    12,158.51/16,785.90 = 7,974.05/x
  3. Step 3: Cross multiply
    12,158.51x = 16,785.90 × 7,974.05
  4. Step 4: Simplify right side
    12,158.51x = 133,851,521.97
  5. Step 5: Solve for x
    x = 133,851,521.97/12,158.51
  6. Step 6: Final answer
    x = 11,008.88

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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.