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Finding the Fourth Proportional to 2,426.98, 3,641.50 and 1,040.62

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Solution

The fourth proportional to 2,426.98, 3,641.50 and 1,040.62 is: 1,561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.98 : 3,641.50 = 1,040.62 : x
  2. Step 2: Convert to fraction form
    2,426.98/3,641.50 = 1,040.62/x
  3. Step 3: Cross multiply
    2,426.98x = 3,641.50 × 1,040.62
  4. Step 4: Simplify right side
    2,426.98x = 3,789,417.73
  5. Step 5: Solve for x
    x = 3,789,417.73/2,426.98
  6. Step 6: Final answer
    x = 1,561.37

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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.