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Finding the Fourth Proportional to 11,425.32, 15,771.78 and 7,449.84

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Solution

The fourth proportional to 11,425.32, 15,771.78 and 7,449.84 is: 10,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.32 : 15,771.78 = 7,449.84 : x
  2. Step 2: Convert to fraction form
    11,425.32/15,771.78 = 7,449.84/x
  3. Step 3: Cross multiply
    11,425.32x = 15,771.78 × 7,449.84
  4. Step 4: Simplify right side
    11,425.32x = 117,497,237.52
  5. Step 5: Solve for x
    x = 117,497,237.52/11,425.32
  6. Step 6: Final answer
    x = 10,283.93

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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.