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Finding the Fourth Proportional to 5,315.28, 7,971.12 and 2,027.76

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Solution

The fourth proportional to 5,315.28, 7,971.12 and 2,027.76 is: 3,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.28 : 7,971.12 = 2,027.76 : x
  2. Step 2: Convert to fraction form
    5,315.28/7,971.12 = 2,027.76/x
  3. Step 3: Cross multiply
    5,315.28x = 7,971.12 × 2,027.76
  4. Step 4: Simplify right side
    5,315.28x = 16,163,518.29
  5. Step 5: Solve for x
    x = 16,163,518.29/5,315.28
  6. Step 6: Final answer
    x = 3,040.95

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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.