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Finding the Fourth Proportional to 9,118.80, 13,679 and 6,683.92

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Solution

The fourth proportional to 9,118.80, 13,679 and 6,683.92 is: 10,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.80 : 13,679 = 6,683.92 : x
  2. Step 2: Convert to fraction form
    9,118.80/13,679 = 6,683.92/x
  3. Step 3: Cross multiply
    9,118.80x = 13,679 × 6,683.92
  4. Step 4: Simplify right side
    9,118.80x = 91,429,341.68
  5. Step 5: Solve for x
    x = 91,429,341.68/9,118.80
  6. Step 6: Final answer
    x = 10,026.47

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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.