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Finding the Fourth Proportional to 9,905.90, 14,843.20 and 3,657.30

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Solution

The fourth proportional to 9,905.90, 14,843.20 and 3,657.30 is: 5,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.90 : 14,843.20 = 3,657.30 : x
  2. Step 2: Convert to fraction form
    9,905.90/14,843.20 = 3,657.30/x
  3. Step 3: Cross multiply
    9,905.90x = 14,843.20 × 3,657.30
  4. Step 4: Simplify right side
    9,905.90x = 54,286,035.36
  5. Step 5: Solve for x
    x = 54,286,035.36/9,905.90
  6. Step 6: Final answer
    x = 5,480.17

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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.