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Finding the Fourth Proportional to 12,982, 19,473.36 and 3,748

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Solution

The fourth proportional to 12,982, 19,473.36 and 3,748 is: 5,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982 : 19,473.36 = 3,748 : x
  2. Step 2: Convert to fraction form
    12,982/19,473.36 = 3,748/x
  3. Step 3: Cross multiply
    12,982x = 19,473.36 × 3,748
  4. Step 4: Simplify right side
    12,982x = 72,986,153.28
  5. Step 5: Solve for x
    x = 72,986,153.28/12,982
  6. Step 6: Final answer
    x = 5,622.10

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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.