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Finding the Fourth Proportional to 25,751.52, 38,619.04 and 8,217.28

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Solution

The fourth proportional to 25,751.52, 38,619.04 and 8,217.28 is: 12,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.52 : 38,619.04 = 8,217.28 : x
  2. Step 2: Convert to fraction form
    25,751.52/38,619.04 = 8,217.28/x
  3. Step 3: Cross multiply
    25,751.52x = 38,619.04 × 8,217.28
  4. Step 4: Simplify right side
    25,751.52x = 317,343,465.01
  5. Step 5: Solve for x
    x = 317,343,465.01/25,751.52
  6. Step 6: Final answer
    x = 12,323.29

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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.