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Finding the Fourth Proportional to 7,498.80, 11,255.40 and 3,805.20

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Solution

The fourth proportional to 7,498.80, 11,255.40 and 3,805.20 is: 5,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.80 : 11,255.40 = 3,805.20 : x
  2. Step 2: Convert to fraction form
    7,498.80/11,255.40 = 3,805.20/x
  3. Step 3: Cross multiply
    7,498.80x = 11,255.40 × 3,805.20
  4. Step 4: Simplify right side
    7,498.80x = 42,829,048.08
  5. Step 5: Solve for x
    x = 42,829,048.08/7,498.80
  6. Step 6: Final answer
    x = 5,711.45

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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.