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Finding the Fourth Proportional to 2,693.64, 4,031.55 and 2,040.78

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Solution

The fourth proportional to 2,693.64, 4,031.55 and 2,040.78 is: 3,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.64 : 4,031.55 = 2,040.78 : x
  2. Step 2: Convert to fraction form
    2,693.64/4,031.55 = 2,040.78/x
  3. Step 3: Cross multiply
    2,693.64x = 4,031.55 × 2,040.78
  4. Step 4: Simplify right side
    2,693.64x = 8,227,506.61
  5. Step 5: Solve for x
    x = 8,227,506.61/2,693.64
  6. Step 6: Final answer
    x = 3,054.42

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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.