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Finding the Fourth Proportional to 11,872.74, 16,373.65 and 7,618.90

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Solution

The fourth proportional to 11,872.74, 16,373.65 and 7,618.90 is: 10,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.74 : 16,373.65 = 7,618.90 : x
  2. Step 2: Convert to fraction form
    11,872.74/16,373.65 = 7,618.90/x
  3. Step 3: Cross multiply
    11,872.74x = 16,373.65 × 7,618.90
  4. Step 4: Simplify right side
    11,872.74x = 124,749,201.99
  5. Step 5: Solve for x
    x = 124,749,201.99/11,872.74
  6. Step 6: Final answer
    x = 10,507.20

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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.