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Finding the Fourth Proportional to 13,275, 19,920.57 and 5,482.80

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Solution

The fourth proportional to 13,275, 19,920.57 and 5,482.80 is: 8,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275 : 19,920.57 = 5,482.80 : x
  2. Step 2: Convert to fraction form
    13,275/19,920.57 = 5,482.80/x
  3. Step 3: Cross multiply
    13,275x = 19,920.57 × 5,482.80
  4. Step 4: Simplify right side
    13,275x = 109,220,501.20
  5. Step 5: Solve for x
    x = 109,220,501.20/13,275
  6. Step 6: Final answer
    x = 8,227.53

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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.