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Finding the Fourth Proportional to 3,295.66, 4,943.68 and 1,988.32

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Solution

The fourth proportional to 3,295.66, 4,943.68 and 1,988.32 is: 2,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.66 : 4,943.68 = 1,988.32 : x
  2. Step 2: Convert to fraction form
    3,295.66/4,943.68 = 1,988.32/x
  3. Step 3: Cross multiply
    3,295.66x = 4,943.68 × 1,988.32
  4. Step 4: Simplify right side
    3,295.66x = 9,829,617.82
  5. Step 5: Solve for x
    x = 9,829,617.82/3,295.66
  6. Step 6: Final answer
    x = 2,982.59

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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.