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Finding the Fourth Proportional to 12,978.11, 17,909.80 and 7,009.78

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Solution

The fourth proportional to 12,978.11, 17,909.80 and 7,009.78 is: 9,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978.11 : 17,909.80 = 7,009.78 : x
  2. Step 2: Convert to fraction form
    12,978.11/17,909.80 = 7,009.78/x
  3. Step 3: Cross multiply
    12,978.11x = 17,909.80 × 7,009.78
  4. Step 4: Simplify right side
    12,978.11x = 125,543,757.84
  5. Step 5: Solve for x
    x = 125,543,757.84/12,978.11
  6. Step 6: Final answer
    x = 9,673.50

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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.