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Finding the Fourth Proportional to 11,180.50, 15,432.33 and 7,454.50

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Solution

The fourth proportional to 11,180.50, 15,432.33 and 7,454.50 is: 10,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.50 : 15,432.33 = 7,454.50 : x
  2. Step 2: Convert to fraction form
    11,180.50/15,432.33 = 7,454.50/x
  3. Step 3: Cross multiply
    11,180.50x = 15,432.33 × 7,454.50
  4. Step 4: Simplify right side
    11,180.50x = 115,040,303.99
  5. Step 5: Solve for x
    x = 115,040,303.99/11,180.50
  6. Step 6: Final answer
    x = 10,289.37

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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.