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Finding the Fourth Proportional to 10,785, 16,177.50 and 2,993.88

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Solution

The fourth proportional to 10,785, 16,177.50 and 2,993.88 is: 4,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785 : 16,177.50 = 2,993.88 : x
  2. Step 2: Convert to fraction form
    10,785/16,177.50 = 2,993.88/x
  3. Step 3: Cross multiply
    10,785x = 16,177.50 × 2,993.88
  4. Step 4: Simplify right side
    10,785x = 48,433,493.70
  5. Step 5: Solve for x
    x = 48,433,493.70/10,785
  6. Step 6: Final answer
    x = 4,490.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.