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Finding the Fourth Proportional to 3,715.50, 5,570.14 and 1,525.80

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Solution

The fourth proportional to 3,715.50, 5,570.14 and 1,525.80 is: 2,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.50 : 5,570.14 = 1,525.80 : x
  2. Step 2: Convert to fraction form
    3,715.50/5,570.14 = 1,525.80/x
  3. Step 3: Cross multiply
    3,715.50x = 5,570.14 × 1,525.80
  4. Step 4: Simplify right side
    3,715.50x = 8,498,919.61
  5. Step 5: Solve for x
    x = 8,498,919.61/3,715.50
  6. Step 6: Final answer
    x = 2,287.42

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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.