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Finding the Fourth Proportional to 15,175.25, 22,765 and 5,312.28

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Solution

The fourth proportional to 15,175.25, 22,765 and 5,312.28 is: 7,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.25 : 22,765 = 5,312.28 : x
  2. Step 2: Convert to fraction form
    15,175.25/22,765 = 5,312.28/x
  3. Step 3: Cross multiply
    15,175.25x = 22,765 × 5,312.28
  4. Step 4: Simplify right side
    15,175.25x = 120,934,054.20
  5. Step 5: Solve for x
    x = 120,934,054.20/15,175.25
  6. Step 6: Final answer
    x = 7,969.16

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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.