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Finding the Fourth Proportional to 12,642.75, 18,972.77 and 4,434.75

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Solution

The fourth proportional to 12,642.75, 18,972.77 and 4,434.75 is: 6,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.75 : 18,972.77 = 4,434.75 : x
  2. Step 2: Convert to fraction form
    12,642.75/18,972.77 = 4,434.75/x
  3. Step 3: Cross multiply
    12,642.75x = 18,972.77 × 4,434.75
  4. Step 4: Simplify right side
    12,642.75x = 84,139,469.58
  5. Step 5: Solve for x
    x = 84,139,469.58/12,642.75
  6. Step 6: Final answer
    x = 6,655.16

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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.