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Finding the Fourth Proportional to 5,579.76, 7,700.31 and 3,342

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Solution

The fourth proportional to 5,579.76, 7,700.31 and 3,342 is: 4,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.76 : 7,700.31 = 3,342 : x
  2. Step 2: Convert to fraction form
    5,579.76/7,700.31 = 3,342/x
  3. Step 3: Cross multiply
    5,579.76x = 7,700.31 × 3,342
  4. Step 4: Simplify right side
    5,579.76x = 25,734,436.02
  5. Step 5: Solve for x
    x = 25,734,436.02/5,579.76
  6. Step 6: Final answer
    x = 4,612.10

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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.