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Finding the Fourth Proportional to 13,687.94, 20,533.22 and 6,294.46

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Solution

The fourth proportional to 13,687.94, 20,533.22 and 6,294.46 is: 9,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.94 : 20,533.22 = 6,294.46 : x
  2. Step 2: Convert to fraction form
    13,687.94/20,533.22 = 6,294.46/x
  3. Step 3: Cross multiply
    13,687.94x = 20,533.22 × 6,294.46
  4. Step 4: Simplify right side
    13,687.94x = 129,245,531.96
  5. Step 5: Solve for x
    x = 129,245,531.96/13,687.94
  6. Step 6: Final answer
    x = 9,442.29

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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.