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Finding the Fourth Proportional to 12,548, 18,822.36 and 3,314

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Solution

The fourth proportional to 12,548, 18,822.36 and 3,314 is: 4,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548 : 18,822.36 = 3,314 : x
  2. Step 2: Convert to fraction form
    12,548/18,822.36 = 3,314/x
  3. Step 3: Cross multiply
    12,548x = 18,822.36 × 3,314
  4. Step 4: Simplify right side
    12,548x = 62,377,301.04
  5. Step 5: Solve for x
    x = 62,377,301.04/12,548
  6. Step 6: Final answer
    x = 4,971.10

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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.