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Finding the Fourth Proportional to 8,348, 12,513.75 and 4,651.97

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Solution

The fourth proportional to 8,348, 12,513.75 and 4,651.97 is: 6,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348 : 12,513.75 = 4,651.97 : x
  2. Step 2: Convert to fraction form
    8,348/12,513.75 = 4,651.97/x
  3. Step 3: Cross multiply
    8,348x = 12,513.75 × 4,651.97
  4. Step 4: Simplify right side
    8,348x = 58,213,589.59
  5. Step 5: Solve for x
    x = 58,213,589.59/8,348
  6. Step 6: Final answer
    x = 6,973.36

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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.