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Finding the Fourth Proportional to 15,825.12, 21,839.04 and 8,751.68

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Solution

The fourth proportional to 15,825.12, 21,839.04 and 8,751.68 is: 12,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.12 : 21,839.04 = 8,751.68 : x
  2. Step 2: Convert to fraction form
    15,825.12/21,839.04 = 8,751.68/x
  3. Step 3: Cross multiply
    15,825.12x = 21,839.04 × 8,751.68
  4. Step 4: Simplify right side
    15,825.12x = 191,128,289.59
  5. Step 5: Solve for x
    x = 191,128,289.59/15,825.12
  6. Step 6: Final answer
    x = 12,077.53

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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.