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Finding the Fourth Proportional to 7,840.74, 11,765.85 and 7,348.26

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Solution

The fourth proportional to 7,840.74, 11,765.85 and 7,348.26 is: 11,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.74 : 11,765.85 = 7,348.26 : x
  2. Step 2: Convert to fraction form
    7,840.74/11,765.85 = 7,348.26/x
  3. Step 3: Cross multiply
    7,840.74x = 11,765.85 × 7,348.26
  4. Step 4: Simplify right side
    7,840.74x = 86,458,524.92
  5. Step 5: Solve for x
    x = 86,458,524.92/7,840.74
  6. Step 6: Final answer
    x = 11,026.83

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1.5x scale

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.