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Finding the Fourth Proportional to 12,996, 17,934.48 and 7,108

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Solution

The fourth proportional to 12,996, 17,934.48 and 7,108 is: 9,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 17,934.48 = 7,108 : x
  2. Step 2: Convert to fraction form
    12,996/17,934.48 = 7,108/x
  3. Step 3: Cross multiply
    12,996x = 17,934.48 × 7,108
  4. Step 4: Simplify right side
    12,996x = 127,478,283.84
  5. Step 5: Solve for x
    x = 127,478,283.84/12,996
  6. Step 6: Final answer
    x = 9,809.04

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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.