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Finding the Fourth Proportional to 11,279.90, 15,559 and 7,745.06

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Solution

The fourth proportional to 11,279.90, 15,559 and 7,745.06 is: 10,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,279.90 : 15,559 = 7,745.06 : x
  2. Step 2: Convert to fraction form
    11,279.90/15,559 = 7,745.06/x
  3. Step 3: Cross multiply
    11,279.90x = 15,559 × 7,745.06
  4. Step 4: Simplify right side
    11,279.90x = 120,505,388.54
  5. Step 5: Solve for x
    x = 120,505,388.54/11,279.90
  6. Step 6: Final answer
    x = 10,683.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.