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Finding the Fourth Proportional to 5,806.80, 8,710.20 and 4,178.70

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Solution

The fourth proportional to 5,806.80, 8,710.20 and 4,178.70 is: 6,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.80 : 8,710.20 = 4,178.70 : x
  2. Step 2: Convert to fraction form
    5,806.80/8,710.20 = 4,178.70/x
  3. Step 3: Cross multiply
    5,806.80x = 8,710.20 × 4,178.70
  4. Step 4: Simplify right side
    5,806.80x = 36,397,312.74
  5. Step 5: Solve for x
    x = 36,397,312.74/5,806.80
  6. Step 6: Final answer
    x = 6,268.05

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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.