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Finding the Fourth Proportional to 1,759.86, 2,641.50 and 836.04

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Solution

The fourth proportional to 1,759.86, 2,641.50 and 836.04 is: 1,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.86 : 2,641.50 = 836.04 : x
  2. Step 2: Convert to fraction form
    1,759.86/2,641.50 = 836.04/x
  3. Step 3: Cross multiply
    1,759.86x = 2,641.50 × 836.04
  4. Step 4: Simplify right side
    1,759.86x = 2,208,399.66
  5. Step 5: Solve for x
    x = 2,208,399.66/1,759.86
  6. Step 6: Final answer
    x = 1,254.87

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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.