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Finding the Fourth Proportional to 20,706.87, 31,064.90 and 7,559.21

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Solution

The fourth proportional to 20,706.87, 31,064.90 and 7,559.21 is: 11,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.87 : 31,064.90 = 7,559.21 : x
  2. Step 2: Convert to fraction form
    20,706.87/31,064.90 = 7,559.21/x
  3. Step 3: Cross multiply
    20,706.87x = 31,064.90 × 7,559.21
  4. Step 4: Simplify right side
    20,706.87x = 234,825,909.61
  5. Step 5: Solve for x
    x = 234,825,909.61/20,706.87
  6. Step 6: Final answer
    x = 11,340.48

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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.