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Finding the Fourth Proportional to 4,678, 6,456 and 2,689.18

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Solution

The fourth proportional to 4,678, 6,456 and 2,689.18 is: 3,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678 : 6,456 = 2,689.18 : x
  2. Step 2: Convert to fraction form
    4,678/6,456 = 2,689.18/x
  3. Step 3: Cross multiply
    4,678x = 6,456 × 2,689.18
  4. Step 4: Simplify right side
    4,678x = 17,361,346.08
  5. Step 5: Solve for x
    x = 17,361,346.08/4,678
  6. Step 6: Final answer
    x = 3,711.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.