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Finding the Fourth Proportional to 10,611.80, 15,934.70 and 8,438.60

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Solution

The fourth proportional to 10,611.80, 15,934.70 and 8,438.60 is: 12,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.80 : 15,934.70 = 8,438.60 : x
  2. Step 2: Convert to fraction form
    10,611.80/15,934.70 = 8,438.60/x
  3. Step 3: Cross multiply
    10,611.80x = 15,934.70 × 8,438.60
  4. Step 4: Simplify right side
    10,611.80x = 134,466,559.42
  5. Step 5: Solve for x
    x = 134,466,559.42/10,611.80
  6. Step 6: Final answer
    x = 12,671.42

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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.