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Finding the Fourth Proportional to 15,115.16, 20,858.90 and 8,400.57

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Solution

The fourth proportional to 15,115.16, 20,858.90 and 8,400.57 is: 11,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.16 : 20,858.90 = 8,400.57 : x
  2. Step 2: Convert to fraction form
    15,115.16/20,858.90 = 8,400.57/x
  3. Step 3: Cross multiply
    15,115.16x = 20,858.90 × 8,400.57
  4. Step 4: Simplify right side
    15,115.16x = 175,226,607.57
  5. Step 5: Solve for x
    x = 175,226,607.57/15,115.16
  6. Step 6: Final answer
    x = 11,592.78

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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.