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Finding the Fourth Proportional to 15,122.41, 20,868.90 and 8,407.82

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Solution

The fourth proportional to 15,122.41, 20,868.90 and 8,407.82 is: 11,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.41 : 20,868.90 = 8,407.82 : x
  2. Step 2: Convert to fraction form
    15,122.41/20,868.90 = 8,407.82/x
  3. Step 3: Cross multiply
    15,122.41x = 20,868.90 × 8,407.82
  4. Step 4: Simplify right side
    15,122.41x = 175,461,954.80
  5. Step 5: Solve for x
    x = 175,461,954.80/15,122.41
  6. Step 6: Final answer
    x = 11,602.78

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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.