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Finding the Fourth Proportional to 15,300, 21,149.37 and 12,767.40

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Solution

The fourth proportional to 15,300, 21,149.37 and 12,767.40 is: 17,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300 : 21,149.37 = 12,767.40 : x
  2. Step 2: Convert to fraction form
    15,300/21,149.37 = 12,767.40/x
  3. Step 3: Cross multiply
    15,300x = 21,149.37 × 12,767.40
  4. Step 4: Simplify right side
    15,300x = 270,022,466.54
  5. Step 5: Solve for x
    x = 270,022,466.54/15,300
  6. Step 6: Final answer
    x = 17,648.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.