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Finding the Fourth Proportional to 3,522, 5,281.72 and 1,573.20

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Solution

The fourth proportional to 3,522, 5,281.72 and 1,573.20 is: 2,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522 : 5,281.72 = 1,573.20 : x
  2. Step 2: Convert to fraction form
    3,522/5,281.72 = 1,573.20/x
  3. Step 3: Cross multiply
    3,522x = 5,281.72 × 1,573.20
  4. Step 4: Simplify right side
    3,522x = 8,309,201.90
  5. Step 5: Solve for x
    x = 8,309,201.90/3,522
  6. Step 6: Final answer
    x = 2,359.23

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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.