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Finding the Fourth Proportional to 3,860.52, 5,325.12 and 2,287.50

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Solution

The fourth proportional to 3,860.52, 5,325.12 and 2,287.50 is: 3,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.52 : 5,325.12 = 2,287.50 : x
  2. Step 2: Convert to fraction form
    3,860.52/5,325.12 = 2,287.50/x
  3. Step 3: Cross multiply
    3,860.52x = 5,325.12 × 2,287.50
  4. Step 4: Simplify right side
    3,860.52x = 12,181,212
  5. Step 5: Solve for x
    x = 12,181,212/3,860.52
  6. Step 6: Final answer
    x = 3,155.33

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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.