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Finding the Fourth Proportional to 13,766.28, 18,987.78 and 8,464.02

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Solution

The fourth proportional to 13,766.28, 18,987.78 and 8,464.02 is: 11,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.28 : 18,987.78 = 8,464.02 : x
  2. Step 2: Convert to fraction form
    13,766.28/18,987.78 = 8,464.02/x
  3. Step 3: Cross multiply
    13,766.28x = 18,987.78 × 8,464.02
  4. Step 4: Simplify right side
    13,766.28x = 160,712,949.68
  5. Step 5: Solve for x
    x = 160,712,949.68/13,766.28
  6. Step 6: Final answer
    x = 11,674.39

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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.