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Finding the Fourth Proportional to 5,643.74, 7,787.27 and 3,654.05

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Solution

The fourth proportional to 5,643.74, 7,787.27 and 3,654.05 is: 5,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.74 : 7,787.27 = 3,654.05 : x
  2. Step 2: Convert to fraction form
    5,643.74/7,787.27 = 3,654.05/x
  3. Step 3: Cross multiply
    5,643.74x = 7,787.27 × 3,654.05
  4. Step 4: Simplify right side
    5,643.74x = 28,455,044.14
  5. Step 5: Solve for x
    x = 28,455,044.14/5,643.74
  6. Step 6: Final answer
    x = 5,041.87

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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.