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Finding the Fourth Proportional to 3,292.65, 4,931.28 and 1,991.79

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Solution

The fourth proportional to 3,292.65, 4,931.28 and 1,991.79 is: 2,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.65 : 4,931.28 = 1,991.79 : x
  2. Step 2: Convert to fraction form
    3,292.65/4,931.28 = 1,991.79/x
  3. Step 3: Cross multiply
    3,292.65x = 4,931.28 × 1,991.79
  4. Step 4: Simplify right side
    3,292.65x = 9,822,074.19
  5. Step 5: Solve for x
    x = 9,822,074.19/3,292.65
  6. Step 6: Final answer
    x = 2,983.03

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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.