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Finding the Fourth Proportional to 13,887.49, 20,805.06 and 6,859.27

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Solution

The fourth proportional to 13,887.49, 20,805.06 and 6,859.27 is: 10,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.49 : 20,805.06 = 6,859.27 : x
  2. Step 2: Convert to fraction form
    13,887.49/20,805.06 = 6,859.27/x
  3. Step 3: Cross multiply
    13,887.49x = 20,805.06 × 6,859.27
  4. Step 4: Simplify right side
    13,887.49x = 142,707,523.91
  5. Step 5: Solve for x
    x = 142,707,523.91/13,887.49
  6. Step 6: Final answer
    x = 10,275.98

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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.