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Finding the Fourth Proportional to 7,368, 10,167.75 and 4,383.78

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Solution

The fourth proportional to 7,368, 10,167.75 and 4,383.78 is: 6,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,368 : 10,167.75 = 4,383.78 : x
  2. Step 2: Convert to fraction form
    7,368/10,167.75 = 4,383.78/x
  3. Step 3: Cross multiply
    7,368x = 10,167.75 × 4,383.78
  4. Step 4: Simplify right side
    7,368x = 44,573,179.10
  5. Step 5: Solve for x
    x = 44,573,179.10/7,368
  6. Step 6: Final answer
    x = 6,049.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.