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Finding the Fourth Proportional to 5,871.72, 8,808.88 and 1,976

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Solution

The fourth proportional to 5,871.72, 8,808.88 and 1,976 is: 2,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.72 : 8,808.88 = 1,976 : x
  2. Step 2: Convert to fraction form
    5,871.72/8,808.88 = 1,976/x
  3. Step 3: Cross multiply
    5,871.72x = 8,808.88 × 1,976
  4. Step 4: Simplify right side
    5,871.72x = 17,406,346.88
  5. Step 5: Solve for x
    x = 17,406,346.88/5,871.72
  6. Step 6: Final answer
    x = 2,964.44

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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.