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Finding the Fourth Proportional to 13,689.84, 20,520.56 and 6,659.44

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Solution

The fourth proportional to 13,689.84, 20,520.56 and 6,659.44 is: 9,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.84 : 20,520.56 = 6,659.44 : x
  2. Step 2: Convert to fraction form
    13,689.84/20,520.56 = 6,659.44/x
  3. Step 3: Cross multiply
    13,689.84x = 20,520.56 × 6,659.44
  4. Step 4: Simplify right side
    13,689.84x = 136,655,438.09
  5. Step 5: Solve for x
    x = 136,655,438.09/13,689.84
  6. Step 6: Final answer
    x = 9,982.25

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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.