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Finding the Fourth Proportional to 9,488.90, 14,234.70 and 2,914.10

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Solution

The fourth proportional to 9,488.90, 14,234.70 and 2,914.10 is: 4,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.90 : 14,234.70 = 2,914.10 : x
  2. Step 2: Convert to fraction form
    9,488.90/14,234.70 = 2,914.10/x
  3. Step 3: Cross multiply
    9,488.90x = 14,234.70 × 2,914.10
  4. Step 4: Simplify right side
    9,488.90x = 41,481,339.27
  5. Step 5: Solve for x
    x = 41,481,339.27/9,488.90
  6. Step 6: Final answer
    x = 4,371.56

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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.