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Finding the Fourth Proportional to 7,765.67, 11,648.20 and 1,922.13

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Solution

The fourth proportional to 7,765.67, 11,648.20 and 1,922.13 is: 2,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.67 : 11,648.20 = 1,922.13 : x
  2. Step 2: Convert to fraction form
    7,765.67/11,648.20 = 1,922.13/x
  3. Step 3: Cross multiply
    7,765.67x = 11,648.20 × 1,922.13
  4. Step 4: Simplify right side
    7,765.67x = 22,389,354.67
  5. Step 5: Solve for x
    x = 22,389,354.67/7,765.67
  6. Step 6: Final answer
    x = 2,883.12

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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.