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Finding the Fourth Proportional to 11,881, 16,380.86 and 7,624.55

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Solution

The fourth proportional to 11,881, 16,380.86 and 7,624.55 is: 10,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881 : 16,380.86 = 7,624.55 : x
  2. Step 2: Convert to fraction form
    11,881/16,380.86 = 7,624.55/x
  3. Step 3: Cross multiply
    11,881x = 16,380.86 × 7,624.55
  4. Step 4: Simplify right side
    11,881x = 124,896,686.11
  5. Step 5: Solve for x
    x = 124,896,686.11/11,881
  6. Step 6: Final answer
    x = 10,512.30

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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.