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Finding the Fourth Proportional to 4,949.68, 7,424.70 and 1,662.88

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Solution

The fourth proportional to 4,949.68, 7,424.70 and 1,662.88 is: 2,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.68 : 7,424.70 = 1,662.88 : x
  2. Step 2: Convert to fraction form
    4,949.68/7,424.70 = 1,662.88/x
  3. Step 3: Cross multiply
    4,949.68x = 7,424.70 × 1,662.88
  4. Step 4: Simplify right side
    4,949.68x = 12,346,385.14
  5. Step 5: Solve for x
    x = 12,346,385.14/4,949.68
  6. Step 6: Final answer
    x = 2,494.38

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1.5x scale

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.