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Finding the Fourth Proportional to 13,049.92, 19,570.76 and 4,282.80

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Solution

The fourth proportional to 13,049.92, 19,570.76 and 4,282.80 is: 6,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.92 : 19,570.76 = 4,282.80 : x
  2. Step 2: Convert to fraction form
    13,049.92/19,570.76 = 4,282.80/x
  3. Step 3: Cross multiply
    13,049.92x = 19,570.76 × 4,282.80
  4. Step 4: Simplify right side
    13,049.92x = 83,817,650.93
  5. Step 5: Solve for x
    x = 83,817,650.93/13,049.92
  6. Step 6: Final answer
    x = 6,422.85

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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.