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Finding the Fourth Proportional to 8,946.11, 13,422 and 6,978.49

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Solution

The fourth proportional to 8,946.11, 13,422 and 6,978.49 is: 10,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.11 : 13,422 = 6,978.49 : x
  2. Step 2: Convert to fraction form
    8,946.11/13,422 = 6,978.49/x
  3. Step 3: Cross multiply
    8,946.11x = 13,422 × 6,978.49
  4. Step 4: Simplify right side
    8,946.11x = 93,665,225.67
  5. Step 5: Solve for x
    x = 93,665,225.67/8,946.11
  6. Step 6: Final answer
    x = 10,469.94

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1.5x scale

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.