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Finding the Fourth Proportional to 3,295.65, 4,943.67 and 1,988.31

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Solution

The fourth proportional to 3,295.65, 4,943.67 and 1,988.31 is: 2,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.65 : 4,943.67 = 1,988.31 : x
  2. Step 2: Convert to fraction form
    3,295.65/4,943.67 = 1,988.31/x
  3. Step 3: Cross multiply
    3,295.65x = 4,943.67 × 1,988.31
  4. Step 4: Simplify right side
    3,295.65x = 9,829,548.50
  5. Step 5: Solve for x
    x = 9,829,548.50/3,295.65
  6. Step 6: Final answer
    x = 2,982.58

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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.