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Finding the Fourth Proportional to 10,442, 15,663 and 3,146

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Solution

The fourth proportional to 10,442, 15,663 and 3,146 is: 4,719

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442 : 15,663 = 3,146 : x
  2. Step 2: Convert to fraction form
    10,442/15,663 = 3,146/x
  3. Step 3: Cross multiply
    10,442x = 15,663 × 3,146
  4. Step 4: Simplify right side
    10,442x = 49,275,798
  5. Step 5: Solve for x
    x = 49,275,798/10,442
  6. Step 6: Final answer
    x = 4,719

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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.