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Finding the Fourth Proportional to 4,100.80, 6,154.40 and 1,909.80

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Solution

The fourth proportional to 4,100.80, 6,154.40 and 1,909.80 is: 2,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.80 : 6,154.40 = 1,909.80 : x
  2. Step 2: Convert to fraction form
    4,100.80/6,154.40 = 1,909.80/x
  3. Step 3: Cross multiply
    4,100.80x = 6,154.40 × 1,909.80
  4. Step 4: Simplify right side
    4,100.80x = 11,753,673.12
  5. Step 5: Solve for x
    x = 11,753,673.12/4,100.80
  6. Step 6: Final answer
    x = 2,866.19

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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.