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Finding the Fourth Proportional to 6,678, 10,017.84 and 2,780.28

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Solution

The fourth proportional to 6,678, 10,017.84 and 2,780.28 is: 4,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678 : 10,017.84 = 2,780.28 : x
  2. Step 2: Convert to fraction form
    6,678/10,017.84 = 2,780.28/x
  3. Step 3: Cross multiply
    6,678x = 10,017.84 × 2,780.28
  4. Step 4: Simplify right side
    6,678x = 27,852,400.20
  5. Step 5: Solve for x
    x = 27,852,400.20/6,678
  6. Step 6: Final answer
    x = 4,170.77

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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.