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Finding the Fourth Proportional to 4,098, 6,135.80 and 2,866.64

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Solution

The fourth proportional to 4,098, 6,135.80 and 2,866.64 is: 4,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 6,135.80 = 2,866.64 : x
  2. Step 2: Convert to fraction form
    4,098/6,135.80 = 2,866.64/x
  3. Step 3: Cross multiply
    4,098x = 6,135.80 × 2,866.64
  4. Step 4: Simplify right side
    4,098x = 17,589,129.71
  5. Step 5: Solve for x
    x = 17,589,129.71/4,098
  6. Step 6: Final answer
    x = 4,292.13

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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.