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Finding the Fourth Proportional to 13,877.58, 20,823.20 and 6,480.97

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Solution

The fourth proportional to 13,877.58, 20,823.20 and 6,480.97 is: 9,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.58 : 20,823.20 = 6,480.97 : x
  2. Step 2: Convert to fraction form
    13,877.58/20,823.20 = 6,480.97/x
  3. Step 3: Cross multiply
    13,877.58x = 20,823.20 × 6,480.97
  4. Step 4: Simplify right side
    13,877.58x = 134,954,430.39
  5. Step 5: Solve for x
    x = 134,954,430.39/13,877.58
  6. Step 6: Final answer
    x = 9,724.64

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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.