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Finding the Fourth Proportional to 4,949.62, 7,424.34 and 1,988.74

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Solution

The fourth proportional to 4,949.62, 7,424.34 and 1,988.74 is: 2,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.62 : 7,424.34 = 1,988.74 : x
  2. Step 2: Convert to fraction form
    4,949.62/7,424.34 = 1,988.74/x
  3. Step 3: Cross multiply
    4,949.62x = 7,424.34 × 1,988.74
  4. Step 4: Simplify right side
    4,949.62x = 14,765,081.93
  5. Step 5: Solve for x
    x = 14,765,081.93/4,949.62
  6. Step 6: Final answer
    x = 2,983.07

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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.