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Finding the Fourth Proportional to 12,642.69, 17,446.90 and 6,977.44

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Solution

The fourth proportional to 12,642.69, 17,446.90 and 6,977.44 is: 9,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.69 : 17,446.90 = 6,977.44 : x
  2. Step 2: Convert to fraction form
    12,642.69/17,446.90 = 6,977.44/x
  3. Step 3: Cross multiply
    12,642.69x = 17,446.90 × 6,977.44
  4. Step 4: Simplify right side
    12,642.69x = 121,734,705.57
  5. Step 5: Solve for x
    x = 121,734,705.57/12,642.69
  6. Step 6: Final answer
    x = 9,628.86

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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.