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Finding the Fourth Proportional to 4,656.74, 6,982.88 and 2,189.48

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Solution

The fourth proportional to 4,656.74, 6,982.88 and 2,189.48 is: 3,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.74 : 6,982.88 = 2,189.48 : x
  2. Step 2: Convert to fraction form
    4,656.74/6,982.88 = 2,189.48/x
  3. Step 3: Cross multiply
    4,656.74x = 6,982.88 × 2,189.48
  4. Step 4: Simplify right side
    4,656.74x = 15,288,830.24
  5. Step 5: Solve for x
    x = 15,288,830.24/4,656.74
  6. Step 6: Final answer
    x = 3,283.17

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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.