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Finding the Fourth Proportional to 15,175.75, 22,765.75 and 5,312.78

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Solution

The fourth proportional to 15,175.75, 22,765.75 and 5,312.78 is: 7,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.75 : 22,765.75 = 5,312.78 : x
  2. Step 2: Convert to fraction form
    15,175.75/22,765.75 = 5,312.78/x
  3. Step 3: Cross multiply
    15,175.75x = 22,765.75 × 5,312.78
  4. Step 4: Simplify right side
    15,175.75x = 120,949,464.92
  5. Step 5: Solve for x
    x = 120,949,464.92/15,175.75
  6. Step 6: Final answer
    x = 7,969.92

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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.