Home / 1,538.12-2,306.36-671.42

Finding the Fourth Proportional to 1,538.12, 2,306.36 and 671.42

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Solution

The fourth proportional to 1,538.12, 2,306.36 and 671.42 is: 1,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.12 : 2,306.36 = 671.42 : x
  2. Step 2: Convert to fraction form
    1,538.12/2,306.36 = 671.42/x
  3. Step 3: Cross multiply
    1,538.12x = 2,306.36 × 671.42
  4. Step 4: Simplify right side
    1,538.12x = 1,548,526.38
  5. Step 5: Solve for x
    x = 1,548,526.38/1,538.12
  6. Step 6: Final answer
    x = 1,006.77

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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.