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Finding the Fourth Proportional to 15,131.78, 20,881.90 and 8,417.84

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Solution

The fourth proportional to 15,131.78, 20,881.90 and 8,417.84 is: 11,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.78 : 20,881.90 = 8,417.84 : x
  2. Step 2: Convert to fraction form
    15,131.78/20,881.90 = 8,417.84/x
  3. Step 3: Cross multiply
    15,131.78x = 20,881.90 × 8,417.84
  4. Step 4: Simplify right side
    15,131.78x = 175,780,493.10
  5. Step 5: Solve for x
    x = 175,780,493.10/15,131.78
  6. Step 6: Final answer
    x = 11,616.64

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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.