Home / 1,597.50-2,202.57-1,171.98

Finding the Fourth Proportional to 1,597.50, 2,202.57 and 1,171.98

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Solution

The fourth proportional to 1,597.50, 2,202.57 and 1,171.98 is: 1,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.50 : 2,202.57 = 1,171.98 : x
  2. Step 2: Convert to fraction form
    1,597.50/2,202.57 = 1,171.98/x
  3. Step 3: Cross multiply
    1,597.50x = 2,202.57 × 1,171.98
  4. Step 4: Simplify right side
    1,597.50x = 2,581,367.99
  5. Step 5: Solve for x
    x = 2,581,367.99/1,597.50
  6. Step 6: Final answer
    x = 1,615.88

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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.