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Finding the Fourth Proportional to 2,641.57, 3,962.43 and 693.79

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Solution

The fourth proportional to 2,641.57, 3,962.43 and 693.79 is: 1,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.57 : 3,962.43 = 693.79 : x
  2. Step 2: Convert to fraction form
    2,641.57/3,962.43 = 693.79/x
  3. Step 3: Cross multiply
    2,641.57x = 3,962.43 × 693.79
  4. Step 4: Simplify right side
    2,641.57x = 2,749,094.31
  5. Step 5: Solve for x
    x = 2,749,094.31/2,641.57
  6. Step 6: Final answer
    x = 1,040.70

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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.