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Finding the Fourth Proportional to 5,765.12, 7,952.64 and 3,898.88

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Solution

The fourth proportional to 5,765.12, 7,952.64 and 3,898.88 is: 5,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.12 : 7,952.64 = 3,898.88 : x
  2. Step 2: Convert to fraction form
    5,765.12/7,952.64 = 3,898.88/x
  3. Step 3: Cross multiply
    5,765.12x = 7,952.64 × 3,898.88
  4. Step 4: Simplify right side
    5,765.12x = 31,006,389.04
  5. Step 5: Solve for x
    x = 31,006,389.04/5,765.12
  6. Step 6: Final answer
    x = 5,378.27

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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.