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Finding the Fourth Proportional to 5,802, 8,006.80 and 3,149.40

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Solution

The fourth proportional to 5,802, 8,006.80 and 3,149.40 is: 4,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802 : 8,006.80 = 3,149.40 : x
  2. Step 2: Convert to fraction form
    5,802/8,006.80 = 3,149.40/x
  3. Step 3: Cross multiply
    5,802x = 8,006.80 × 3,149.40
  4. Step 4: Simplify right side
    5,802x = 25,216,615.92
  5. Step 5: Solve for x
    x = 25,216,615.92/5,802
  6. Step 6: Final answer
    x = 4,346.19

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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.