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Finding the Fourth Proportional to 13,859.76, 20,799.06 and 6,464.97

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Solution

The fourth proportional to 13,859.76, 20,799.06 and 6,464.97 is: 9,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.76 : 20,799.06 = 6,464.97 : x
  2. Step 2: Convert to fraction form
    13,859.76/20,799.06 = 6,464.97/x
  3. Step 3: Cross multiply
    13,859.76x = 20,799.06 × 6,464.97
  4. Step 4: Simplify right side
    13,859.76x = 134,465,298.93
  5. Step 5: Solve for x
    x = 134,465,298.93/13,859.76
  6. Step 6: Final answer
    x = 9,701.85

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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.