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Finding the Fourth Proportional to 5,855.28, 8,078.76 and 3,498

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Solution

The fourth proportional to 5,855.28, 8,078.76 and 3,498 is: 4,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.28 : 8,078.76 = 3,498 : x
  2. Step 2: Convert to fraction form
    5,855.28/8,078.76 = 3,498/x
  3. Step 3: Cross multiply
    5,855.28x = 8,078.76 × 3,498
  4. Step 4: Simplify right side
    5,855.28x = 28,259,502.48
  5. Step 5: Solve for x
    x = 28,259,502.48/5,855.28
  6. Step 6: Final answer
    x = 4,826.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.