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Finding the Fourth Proportional to 4,991.69, 7,487.12 and 1,949.06

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Solution

The fourth proportional to 4,991.69, 7,487.12 and 1,949.06 is: 2,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.69 : 7,487.12 = 1,949.06 : x
  2. Step 2: Convert to fraction form
    4,991.69/7,487.12 = 1,949.06/x
  3. Step 3: Cross multiply
    4,991.69x = 7,487.12 × 1,949.06
  4. Step 4: Simplify right side
    4,991.69x = 14,592,846.11
  5. Step 5: Solve for x
    x = 14,592,846.11/4,991.69
  6. Step 6: Final answer
    x = 2,923.43

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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.