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Finding the Fourth Proportional to 13,686.84, 20,523.78 and 6,753.24

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Solution

The fourth proportional to 13,686.84, 20,523.78 and 6,753.24 is: 10,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.84 : 20,523.78 = 6,753.24 : x
  2. Step 2: Convert to fraction form
    13,686.84/20,523.78 = 6,753.24/x
  3. Step 3: Cross multiply
    13,686.84x = 20,523.78 × 6,753.24
  4. Step 4: Simplify right side
    13,686.84x = 138,602,012.05
  5. Step 5: Solve for x
    x = 138,602,012.05/13,686.84
  6. Step 6: Final answer
    x = 10,126.66

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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.