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Finding the Fourth Proportional to 7,839, 11,801.25 and 7,150.08

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Solution

The fourth proportional to 7,839, 11,801.25 and 7,150.08 is: 10,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839 : 11,801.25 = 7,150.08 : x
  2. Step 2: Convert to fraction form
    7,839/11,801.25 = 7,150.08/x
  3. Step 3: Cross multiply
    7,839x = 11,801.25 × 7,150.08
  4. Step 4: Simplify right side
    7,839x = 84,379,881.60
  5. Step 5: Solve for x
    x = 84,379,881.60/7,839
  6. Step 6: Final answer
    x = 10,764.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.