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Finding the Fourth Proportional to 10,213.68, 15,320.16 and 3,288

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Solution

The fourth proportional to 10,213.68, 15,320.16 and 3,288 is: 4,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.68 : 15,320.16 = 3,288 : x
  2. Step 2: Convert to fraction form
    10,213.68/15,320.16 = 3,288/x
  3. Step 3: Cross multiply
    10,213.68x = 15,320.16 × 3,288
  4. Step 4: Simplify right side
    10,213.68x = 50,372,686.08
  5. Step 5: Solve for x
    x = 50,372,686.08/10,213.68
  6. Step 6: Final answer
    x = 4,931.88

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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.