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Finding the Fourth Proportional to 9,500.80, 13,112.38 and 7,138.84

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Solution

The fourth proportional to 9,500.80, 13,112.38 and 7,138.84 is: 9,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.80 : 13,112.38 = 7,138.84 : x
  2. Step 2: Convert to fraction form
    9,500.80/13,112.38 = 7,138.84/x
  3. Step 3: Cross multiply
    9,500.80x = 13,112.38 × 7,138.84
  4. Step 4: Simplify right side
    9,500.80x = 93,607,182.84
  5. Step 5: Solve for x
    x = 93,607,182.84/9,500.80
  6. Step 6: Final answer
    x = 9,852.56

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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.