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Finding the Fourth Proportional to 13,679.94, 18,881.46 and 8,377.68

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Solution

The fourth proportional to 13,679.94, 18,881.46 and 8,377.68 is: 11,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.94 : 18,881.46 = 8,377.68 : x
  2. Step 2: Convert to fraction form
    13,679.94/18,881.46 = 8,377.68/x
  3. Step 3: Cross multiply
    13,679.94x = 18,881.46 × 8,377.68
  4. Step 4: Simplify right side
    13,679.94x = 158,182,829.81
  5. Step 5: Solve for x
    x = 158,182,829.81/13,679.94
  6. Step 6: Final answer
    x = 11,563.12

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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.