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Finding the Fourth Proportional to 3,871.32, 5,808.54 and 1,563

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Solution

The fourth proportional to 3,871.32, 5,808.54 and 1,563 is: 2,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.32 : 5,808.54 = 1,563 : x
  2. Step 2: Convert to fraction form
    3,871.32/5,808.54 = 1,563/x
  3. Step 3: Cross multiply
    3,871.32x = 5,808.54 × 1,563
  4. Step 4: Simplify right side
    3,871.32x = 9,078,748.02
  5. Step 5: Solve for x
    x = 9,078,748.02/3,871.32
  6. Step 6: Final answer
    x = 2,345.13

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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.