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Finding the Fourth Proportional to 13,672.32, 18,868.98 and 7,705.14

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Solution

The fourth proportional to 13,672.32, 18,868.98 and 7,705.14 is: 10,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.32 : 18,868.98 = 7,705.14 : x
  2. Step 2: Convert to fraction form
    13,672.32/18,868.98 = 7,705.14/x
  3. Step 3: Cross multiply
    13,672.32x = 18,868.98 × 7,705.14
  4. Step 4: Simplify right side
    13,672.32x = 145,388,132.56
  5. Step 5: Solve for x
    x = 145,388,132.56/13,672.32
  6. Step 6: Final answer
    x = 10,633.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.