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Finding the Fourth Proportional to 20,363.52, 30,535.28 and 7,214

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Solution

The fourth proportional to 20,363.52, 30,535.28 and 7,214 is: 10,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,363.52 : 30,535.28 = 7,214 : x
  2. Step 2: Convert to fraction form
    20,363.52/30,535.28 = 7,214/x
  3. Step 3: Cross multiply
    20,363.52x = 30,535.28 × 7,214
  4. Step 4: Simplify right side
    20,363.52x = 220,281,509.92
  5. Step 5: Solve for x
    x = 220,281,509.92/20,363.52
  6. Step 6: Final answer
    x = 10,817.46

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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.