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Finding the Fourth Proportional to 10,383.64, 15,578.19 and 3,809.88

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Solution

The fourth proportional to 10,383.64, 15,578.19 and 3,809.88 is: 5,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.64 : 15,578.19 = 3,809.88 : x
  2. Step 2: Convert to fraction form
    10,383.64/15,578.19 = 3,809.88/x
  3. Step 3: Cross multiply
    10,383.64x = 15,578.19 × 3,809.88
  4. Step 4: Simplify right side
    10,383.64x = 59,351,034.52
  5. Step 5: Solve for x
    x = 59,351,034.52/10,383.64
  6. Step 6: Final answer
    x = 5,715.82

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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.