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Finding the Fourth Proportional to 4,451.80, 6,142.38 and 2,878

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Solution

The fourth proportional to 4,451.80, 6,142.38 and 2,878 is: 3,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.80 : 6,142.38 = 2,878 : x
  2. Step 2: Convert to fraction form
    4,451.80/6,142.38 = 2,878/x
  3. Step 3: Cross multiply
    4,451.80x = 6,142.38 × 2,878
  4. Step 4: Simplify right side
    4,451.80x = 17,677,769.64
  5. Step 5: Solve for x
    x = 17,677,769.64/4,451.80
  6. Step 6: Final answer
    x = 3,970.93

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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.