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Finding the Fourth Proportional to 17,978.40, 26,971.49 and 6,885.09

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Solution

The fourth proportional to 17,978.40, 26,971.49 and 6,885.09 is: 10,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.40 : 26,971.49 = 6,885.09 : x
  2. Step 2: Convert to fraction form
    17,978.40/26,971.49 = 6,885.09/x
  3. Step 3: Cross multiply
    17,978.40x = 26,971.49 × 6,885.09
  4. Step 4: Simplify right side
    17,978.40x = 185,700,966.80
  5. Step 5: Solve for x
    x = 185,700,966.80/17,978.40
  6. Step 6: Final answer
    x = 10,329.12

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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.