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Finding the Fourth Proportional to 9,815.40, 14,724 and 3,241.44

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Solution

The fourth proportional to 9,815.40, 14,724 and 3,241.44 is: 4,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.40 : 14,724 = 3,241.44 : x
  2. Step 2: Convert to fraction form
    9,815.40/14,724 = 3,241.44/x
  3. Step 3: Cross multiply
    9,815.40x = 14,724 × 3,241.44
  4. Step 4: Simplify right side
    9,815.40x = 47,726,962.56
  5. Step 5: Solve for x
    x = 47,726,962.56/9,815.40
  6. Step 6: Final answer
    x = 4,862.46

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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.