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Finding the Fourth Proportional to 6,442, 9,663 and 1,578

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Solution

The fourth proportional to 6,442, 9,663 and 1,578 is: 2,367

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442 : 9,663 = 1,578 : x
  2. Step 2: Convert to fraction form
    6,442/9,663 = 1,578/x
  3. Step 3: Cross multiply
    6,442x = 9,663 × 1,578
  4. Step 4: Simplify right side
    6,442x = 15,248,214
  5. Step 5: Solve for x
    x = 15,248,214/6,442
  6. Step 6: Final answer
    x = 2,367

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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.