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Finding the Fourth Proportional to 7,279.78, 10,919.64 and 2,085.64

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Solution

The fourth proportional to 7,279.78, 10,919.64 and 2,085.64 is: 3,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.78 : 10,919.64 = 2,085.64 : x
  2. Step 2: Convert to fraction form
    7,279.78/10,919.64 = 2,085.64/x
  3. Step 3: Cross multiply
    7,279.78x = 10,919.64 × 2,085.64
  4. Step 4: Simplify right side
    7,279.78x = 22,774,437.97
  5. Step 5: Solve for x
    x = 22,774,437.97/7,279.78
  6. Step 6: Final answer
    x = 3,128.45

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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.