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Finding the Fourth Proportional to 2,826.47, 4,239.65 and 689.35

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Solution

The fourth proportional to 2,826.47, 4,239.65 and 689.35 is: 1,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.47 : 4,239.65 = 689.35 : x
  2. Step 2: Convert to fraction form
    2,826.47/4,239.65 = 689.35/x
  3. Step 3: Cross multiply
    2,826.47x = 4,239.65 × 689.35
  4. Step 4: Simplify right side
    2,826.47x = 2,922,593.85
  5. Step 5: Solve for x
    x = 2,922,593.85/2,826.47
  6. Step 6: Final answer
    x = 1,034.01

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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.