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Finding the Fourth Proportional to 18,291, 25,241.76 and 9,907.68

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Solution

The fourth proportional to 18,291, 25,241.76 and 9,907.68 is: 13,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,291 : 25,241.76 = 9,907.68 : x
  2. Step 2: Convert to fraction form
    18,291/25,241.76 = 9,907.68/x
  3. Step 3: Cross multiply
    18,291x = 25,241.76 × 9,907.68
  4. Step 4: Simplify right side
    18,291x = 250,087,280.72
  5. Step 5: Solve for x
    x = 250,087,280.72/18,291
  6. Step 6: Final answer
    x = 13,672.70

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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.