Home / 1,938.97-2,909.23-706.46

Finding the Fourth Proportional to 1,938.97, 2,909.23 and 706.46

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Solution

The fourth proportional to 1,938.97, 2,909.23 and 706.46 is: 1,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.97 : 2,909.23 = 706.46 : x
  2. Step 2: Convert to fraction form
    1,938.97/2,909.23 = 706.46/x
  3. Step 3: Cross multiply
    1,938.97x = 2,909.23 × 706.46
  4. Step 4: Simplify right side
    1,938.97x = 2,055,261.90
  5. Step 5: Solve for x
    x = 2,055,261.90/1,938.97
  6. Step 6: Final answer
    x = 1,059.98

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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.