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Finding the Fourth Proportional to 7,805.70, 10,764.84 and 5,155.78

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Solution

The fourth proportional to 7,805.70, 10,764.84 and 5,155.78 is: 7,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.70 : 10,764.84 = 5,155.78 : x
  2. Step 2: Convert to fraction form
    7,805.70/10,764.84 = 5,155.78/x
  3. Step 3: Cross multiply
    7,805.70x = 10,764.84 × 5,155.78
  4. Step 4: Simplify right side
    7,805.70x = 55,501,146.78
  5. Step 5: Solve for x
    x = 55,501,146.78/7,805.70
  6. Step 6: Final answer
    x = 7,110.34

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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.