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Finding the Fourth Proportional to 10,318.40, 15,479.76 and 3,392

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Solution

The fourth proportional to 10,318.40, 15,479.76 and 3,392 is: 5,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.40 : 15,479.76 = 3,392 : x
  2. Step 2: Convert to fraction form
    10,318.40/15,479.76 = 3,392/x
  3. Step 3: Cross multiply
    10,318.40x = 15,479.76 × 3,392
  4. Step 4: Simplify right side
    10,318.40x = 52,507,345.92
  5. Step 5: Solve for x
    x = 52,507,345.92/10,318.40
  6. Step 6: Final answer
    x = 5,088.71

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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.