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Finding the Fourth Proportional to 12,352, 17,045.76 and 7,936

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Solution

The fourth proportional to 12,352, 17,045.76 and 7,936 is: 10,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352 : 17,045.76 = 7,936 : x
  2. Step 2: Convert to fraction form
    12,352/17,045.76 = 7,936/x
  3. Step 3: Cross multiply
    12,352x = 17,045.76 × 7,936
  4. Step 4: Simplify right side
    12,352x = 135,275,151.36
  5. Step 5: Solve for x
    x = 135,275,151.36/12,352
  6. Step 6: Final answer
    x = 10,951.68

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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.