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Finding the Fourth Proportional to 10,338.68, 15,507.84 and 3,413

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Solution

The fourth proportional to 10,338.68, 15,507.84 and 3,413 is: 5,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.68 : 15,507.84 = 3,413 : x
  2. Step 2: Convert to fraction form
    10,338.68/15,507.84 = 3,413/x
  3. Step 3: Cross multiply
    10,338.68x = 15,507.84 × 3,413
  4. Step 4: Simplify right side
    10,338.68x = 52,928,257.92
  5. Step 5: Solve for x
    x = 52,928,257.92/10,338.68
  6. Step 6: Final answer
    x = 5,119.44

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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.