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Finding the Fourth Proportional to 13,220.40, 19,825.46 and 6,642

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Solution

The fourth proportional to 13,220.40, 19,825.46 and 6,642 is: 9,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.40 : 19,825.46 = 6,642 : x
  2. Step 2: Convert to fraction form
    13,220.40/19,825.46 = 6,642/x
  3. Step 3: Cross multiply
    13,220.40x = 19,825.46 × 6,642
  4. Step 4: Simplify right side
    13,220.40x = 131,680,672.11
  5. Step 5: Solve for x
    x = 131,680,672.11/13,220.40
  6. Step 6: Final answer
    x = 9,960.42

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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.