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Finding the Fourth Proportional to 2,780.72, 4,171.08 and 2,648

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Solution

The fourth proportional to 2,780.72, 4,171.08 and 2,648 is: 3,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.72 : 4,171.08 = 2,648 : x
  2. Step 2: Convert to fraction form
    2,780.72/4,171.08 = 2,648/x
  3. Step 3: Cross multiply
    2,780.72x = 4,171.08 × 2,648
  4. Step 4: Simplify right side
    2,780.72x = 11,045,019.84
  5. Step 5: Solve for x
    x = 11,045,019.84/2,780.72
  6. Step 6: Final answer
    x = 3,972.00

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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.