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Finding the Fourth Proportional to 9,902.40, 14,855.30 and 3,662.43

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Solution

The fourth proportional to 9,902.40, 14,855.30 and 3,662.43 is: 5,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.40 : 14,855.30 = 3,662.43 : x
  2. Step 2: Convert to fraction form
    9,902.40/14,855.30 = 3,662.43/x
  3. Step 3: Cross multiply
    9,902.40x = 14,855.30 × 3,662.43
  4. Step 4: Simplify right side
    9,902.40x = 54,406,478.07
  5. Step 5: Solve for x
    x = 54,406,478.07/9,902.40
  6. Step 6: Final answer
    x = 5,494.27

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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.