Home / 1,972.26-2,957.37-655.53

Finding the Fourth Proportional to 1,972.26, 2,957.37 and 655.53

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Solution

The fourth proportional to 1,972.26, 2,957.37 and 655.53 is: 982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.26 : 2,957.37 = 655.53 : x
  2. Step 2: Convert to fraction form
    1,972.26/2,957.37 = 655.53/x
  3. Step 3: Cross multiply
    1,972.26x = 2,957.37 × 655.53
  4. Step 4: Simplify right side
    1,972.26x = 1,938,644.76
  5. Step 5: Solve for x
    x = 1,938,644.76/1,972.26
  6. Step 6: Final answer
    x = 982.96

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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.