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Finding the Fourth Proportional to 12,548.25, 18,822.42 and 3,314.25

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Solution

The fourth proportional to 12,548.25, 18,822.42 and 3,314.25 is: 4,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.25 : 18,822.42 = 3,314.25 : x
  2. Step 2: Convert to fraction form
    12,548.25/18,822.42 = 3,314.25/x
  3. Step 3: Cross multiply
    12,548.25x = 18,822.42 × 3,314.25
  4. Step 4: Simplify right side
    12,548.25x = 62,382,205.49
  5. Step 5: Solve for x
    x = 62,382,205.49/12,548.25
  6. Step 6: Final answer
    x = 4,971.39

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1.5x scale

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.