Home / 1,531.82-2,299.08-1,013.42

Finding the Fourth Proportional to 1,531.82, 2,299.08 and 1,013.42

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Solution

The fourth proportional to 1,531.82, 2,299.08 and 1,013.42 is: 1,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.82 : 2,299.08 = 1,013.42 : x
  2. Step 2: Convert to fraction form
    1,531.82/2,299.08 = 1,013.42/x
  3. Step 3: Cross multiply
    1,531.82x = 2,299.08 × 1,013.42
  4. Step 4: Simplify right side
    1,531.82x = 2,329,933.65
  5. Step 5: Solve for x
    x = 2,329,933.65/1,531.82
  6. Step 6: Final answer
    x = 1,521.02

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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.