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Finding the Fourth Proportional to 9,712.52, 14,571.30 and 3,472.28

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Solution

The fourth proportional to 9,712.52, 14,571.30 and 3,472.28 is: 5,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.52 : 14,571.30 = 3,472.28 : x
  2. Step 2: Convert to fraction form
    9,712.52/14,571.30 = 3,472.28/x
  3. Step 3: Cross multiply
    9,712.52x = 14,571.30 × 3,472.28
  4. Step 4: Simplify right side
    9,712.52x = 50,595,633.56
  5. Step 5: Solve for x
    x = 50,595,633.56/9,712.52
  6. Step 6: Final answer
    x = 5,209.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.