Home / 1,444.17-2,162.61-826.80

Finding the Fourth Proportional to 1,444.17, 2,162.61 and 826.80

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Solution

The fourth proportional to 1,444.17, 2,162.61 and 826.80 is: 1,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.17 : 2,162.61 = 826.80 : x
  2. Step 2: Convert to fraction form
    1,444.17/2,162.61 = 826.80/x
  3. Step 3: Cross multiply
    1,444.17x = 2,162.61 × 826.80
  4. Step 4: Simplify right side
    1,444.17x = 1,788,045.95
  5. Step 5: Solve for x
    x = 1,788,045.95/1,444.17
  6. Step 6: Final answer
    x = 1,238.11

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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.