Home / 1,531.77-2,302.30-1,013.54

Finding the Fourth Proportional to 1,531.77, 2,302.30 and 1,013.54

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Solution

The fourth proportional to 1,531.77, 2,302.30 and 1,013.54 is: 1,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.77 : 2,302.30 = 1,013.54 : x
  2. Step 2: Convert to fraction form
    1,531.77/2,302.30 = 1,013.54/x
  3. Step 3: Cross multiply
    1,531.77x = 2,302.30 × 1,013.54
  4. Step 4: Simplify right side
    1,531.77x = 2,333,473.14
  5. Step 5: Solve for x
    x = 2,333,473.14/1,531.77
  6. Step 6: Final answer
    x = 1,523.38

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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.