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Finding the Fourth Proportional to 7,542.60, 11,305.80 and 2,860.80

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Solution

The fourth proportional to 7,542.60, 11,305.80 and 2,860.80 is: 4,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.60 : 11,305.80 = 2,860.80 : x
  2. Step 2: Convert to fraction form
    7,542.60/11,305.80 = 2,860.80/x
  3. Step 3: Cross multiply
    7,542.60x = 11,305.80 × 2,860.80
  4. Step 4: Simplify right side
    7,542.60x = 32,343,632.64
  5. Step 5: Solve for x
    x = 32,343,632.64/7,542.60
  6. Step 6: Final answer
    x = 4,288.13

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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.