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Finding the Fourth Proportional to 13,028.80, 19,535.92 and 4,263

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Solution

The fourth proportional to 13,028.80, 19,535.92 and 4,263 is: 6,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.80 : 19,535.92 = 4,263 : x
  2. Step 2: Convert to fraction form
    13,028.80/19,535.92 = 4,263/x
  3. Step 3: Cross multiply
    13,028.80x = 19,535.92 × 4,263
  4. Step 4: Simplify right side
    13,028.80x = 83,281,626.96
  5. Step 5: Solve for x
    x = 83,281,626.96/13,028.80
  6. Step 6: Final answer
    x = 6,392.12

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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.