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Finding the Fourth Proportional to 15,438, 23,157 and 3,751.25

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Solution

The fourth proportional to 15,438, 23,157 and 3,751.25 is: 5,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438 : 23,157 = 3,751.25 : x
  2. Step 2: Convert to fraction form
    15,438/23,157 = 3,751.25/x
  3. Step 3: Cross multiply
    15,438x = 23,157 × 3,751.25
  4. Step 4: Simplify right side
    15,438x = 86,867,754.14
  5. Step 5: Solve for x
    x = 86,867,754.14/15,438
  6. Step 6: Final answer
    x = 5,626.88

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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.