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Finding the Fourth Proportional to 13,774.34, 20,649.98 and 6,384.11

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Solution

The fourth proportional to 13,774.34, 20,649.98 and 6,384.11 is: 9,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.34 : 20,649.98 = 6,384.11 : x
  2. Step 2: Convert to fraction form
    13,774.34/20,649.98 = 6,384.11/x
  3. Step 3: Cross multiply
    13,774.34x = 20,649.98 × 6,384.11
  4. Step 4: Simplify right side
    13,774.34x = 131,831,608.65
  5. Step 5: Solve for x
    x = 131,831,608.65/13,774.34
  6. Step 6: Final answer
    x = 9,570.81

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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.