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Finding the Fourth Proportional to 2,677.84, 4,011 and 2,648.32

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Solution

The fourth proportional to 2,677.84, 4,011 and 2,648.32 is: 3,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.84 : 4,011 = 2,648.32 : x
  2. Step 2: Convert to fraction form
    2,677.84/4,011 = 2,648.32/x
  3. Step 3: Cross multiply
    2,677.84x = 4,011 × 2,648.32
  4. Step 4: Simplify right side
    2,677.84x = 10,622,411.52
  5. Step 5: Solve for x
    x = 10,622,411.52/2,677.84
  6. Step 6: Final answer
    x = 3,966.78

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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.