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Finding the Fourth Proportional to 15,084, 20,815.68 and 9,115.68

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Solution

The fourth proportional to 15,084, 20,815.68 and 9,115.68 is: 12,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084 : 20,815.68 = 9,115.68 : x
  2. Step 2: Convert to fraction form
    15,084/20,815.68 = 9,115.68/x
  3. Step 3: Cross multiply
    15,084x = 20,815.68 × 9,115.68
  4. Step 4: Simplify right side
    15,084x = 189,749,077.86
  5. Step 5: Solve for x
    x = 189,749,077.86/15,084
  6. Step 6: Final answer
    x = 12,579.49

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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.