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Finding the Fourth Proportional to 9,147.65, 13,722.75 and 2,907

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Solution

The fourth proportional to 9,147.65, 13,722.75 and 2,907 is: 4,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.65 : 13,722.75 = 2,907 : x
  2. Step 2: Convert to fraction form
    9,147.65/13,722.75 = 2,907/x
  3. Step 3: Cross multiply
    9,147.65x = 13,722.75 × 2,907
  4. Step 4: Simplify right side
    9,147.65x = 39,892,034.25
  5. Step 5: Solve for x
    x = 39,892,034.25/9,147.65
  6. Step 6: Final answer
    x = 4,360.91

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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.