Home / 2,470.24-3,705.80-826.95

Finding the Fourth Proportional to 2,470.24, 3,705.80 and 826.95

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Solution

The fourth proportional to 2,470.24, 3,705.80 and 826.95 is: 1,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.24 : 3,705.80 = 826.95 : x
  2. Step 2: Convert to fraction form
    2,470.24/3,705.80 = 826.95/x
  3. Step 3: Cross multiply
    2,470.24x = 3,705.80 × 826.95
  4. Step 4: Simplify right side
    2,470.24x = 3,064,507.18
  5. Step 5: Solve for x
    x = 3,064,507.18/2,470.24
  6. Step 6: Final answer
    x = 1,240.57

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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.