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Finding the Fourth Proportional to 13,911.76, 20,868.86 and 6,118.75

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Solution

The fourth proportional to 13,911.76, 20,868.86 and 6,118.75 is: 9,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.76 : 20,868.86 = 6,118.75 : x
  2. Step 2: Convert to fraction form
    13,911.76/20,868.86 = 6,118.75/x
  3. Step 3: Cross multiply
    13,911.76x = 20,868.86 × 6,118.75
  4. Step 4: Simplify right side
    13,911.76x = 127,691,337.13
  5. Step 5: Solve for x
    x = 127,691,337.13/13,911.76
  6. Step 6: Final answer
    x = 9,178.66

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1.5x scale

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.