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Finding the Fourth Proportional to 5,756.26, 7,943.88 and 3,398.40

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Solution

The fourth proportional to 5,756.26, 7,943.88 and 3,398.40 is: 4,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.26 : 7,943.88 = 3,398.40 : x
  2. Step 2: Convert to fraction form
    5,756.26/7,943.88 = 3,398.40/x
  3. Step 3: Cross multiply
    5,756.26x = 7,943.88 × 3,398.40
  4. Step 4: Simplify right side
    5,756.26x = 26,996,481.79
  5. Step 5: Solve for x
    x = 26,996,481.79/5,756.26
  6. Step 6: Final answer
    x = 4,689.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.