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Finding the Fourth Proportional to 4,142.98, 6,215.10 and 2,881.90

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Solution

The fourth proportional to 4,142.98, 6,215.10 and 2,881.90 is: 4,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.98 : 6,215.10 = 2,881.90 : x
  2. Step 2: Convert to fraction form
    4,142.98/6,215.10 = 2,881.90/x
  3. Step 3: Cross multiply
    4,142.98x = 6,215.10 × 2,881.90
  4. Step 4: Simplify right side
    4,142.98x = 17,911,296.69
  5. Step 5: Solve for x
    x = 17,911,296.69/4,142.98
  6. Step 6: Final answer
    x = 4,323.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.