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Finding the Fourth Proportional to 10,077, 13,909.70 and 6,251.56

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Solution

The fourth proportional to 10,077, 13,909.70 and 6,251.56 is: 8,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077 : 13,909.70 = 6,251.56 : x
  2. Step 2: Convert to fraction form
    10,077/13,909.70 = 6,251.56/x
  3. Step 3: Cross multiply
    10,077x = 13,909.70 × 6,251.56
  4. Step 4: Simplify right side
    10,077x = 86,957,324.13
  5. Step 5: Solve for x
    x = 86,957,324.13/10,077
  6. Step 6: Final answer
    x = 8,629.29

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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.