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Finding the Fourth Proportional to 11,978.41, 16,532.17 and 6,674.93

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Solution

The fourth proportional to 11,978.41, 16,532.17 and 6,674.93 is: 9,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.41 : 16,532.17 = 6,674.93 : x
  2. Step 2: Convert to fraction form
    11,978.41/16,532.17 = 6,674.93/x
  3. Step 3: Cross multiply
    11,978.41x = 16,532.17 × 6,674.93
  4. Step 4: Simplify right side
    11,978.41x = 110,351,044.12
  5. Step 5: Solve for x
    x = 110,351,044.12/11,978.41
  6. Step 6: Final answer
    x = 9,212.50

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1.5x scale

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.