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Finding the Fourth Proportional to 7,249.60, 10,875.90 and 4,131.10

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Solution

The fourth proportional to 7,249.60, 10,875.90 and 4,131.10 is: 6,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.60 : 10,875.90 = 4,131.10 : x
  2. Step 2: Convert to fraction form
    7,249.60/10,875.90 = 4,131.10/x
  3. Step 3: Cross multiply
    7,249.60x = 10,875.90 × 4,131.10
  4. Step 4: Simplify right side
    7,249.60x = 44,929,430.49
  5. Step 5: Solve for x
    x = 44,929,430.49/7,249.60
  6. Step 6: Final answer
    x = 6,197.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.