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Finding the Fourth Proportional to 17,978.47, 26,971.59 and 6,885.16

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Solution

The fourth proportional to 17,978.47, 26,971.59 and 6,885.16 is: 10,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.47 : 26,971.59 = 6,885.16 : x
  2. Step 2: Convert to fraction form
    17,978.47/26,971.59 = 6,885.16/x
  3. Step 3: Cross multiply
    17,978.47x = 26,971.59 × 6,885.16
  4. Step 4: Simplify right side
    17,978.47x = 185,703,577.75
  5. Step 5: Solve for x
    x = 185,703,577.75/17,978.47
  6. Step 6: Final answer
    x = 10,329.22

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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.