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Finding the Fourth Proportional to 5,643.81, 7,787.46 and 3,253.23

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Solution

The fourth proportional to 5,643.81, 7,787.46 and 3,253.23 is: 4,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.81 : 7,787.46 = 3,253.23 : x
  2. Step 2: Convert to fraction form
    5,643.81/7,787.46 = 3,253.23/x
  3. Step 3: Cross multiply
    5,643.81x = 7,787.46 × 3,253.23
  4. Step 4: Simplify right side
    5,643.81x = 25,334,398.50
  5. Step 5: Solve for x
    x = 25,334,398.50/5,643.81
  6. Step 6: Final answer
    x = 4,488.88

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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.