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Finding the Fourth Proportional to 13,442, 20,163 and 3,714

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Solution

The fourth proportional to 13,442, 20,163 and 3,714 is: 5,571

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442 : 20,163 = 3,714 : x
  2. Step 2: Convert to fraction form
    13,442/20,163 = 3,714/x
  3. Step 3: Cross multiply
    13,442x = 20,163 × 3,714
  4. Step 4: Simplify right side
    13,442x = 74,885,382
  5. Step 5: Solve for x
    x = 74,885,382/13,442
  6. Step 6: Final answer
    x = 5,571

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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.