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Finding the Fourth Proportional to 2,542.66, 3,815.21 and 899.98

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Solution

The fourth proportional to 2,542.66, 3,815.21 and 899.98 is: 1,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.66 : 3,815.21 = 899.98 : x
  2. Step 2: Convert to fraction form
    2,542.66/3,815.21 = 899.98/x
  3. Step 3: Cross multiply
    2,542.66x = 3,815.21 × 899.98
  4. Step 4: Simplify right side
    2,542.66x = 3,433,605.41
  5. Step 5: Solve for x
    x = 3,433,605.41/2,542.66
  6. Step 6: Final answer
    x = 1,350.40

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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.