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Finding the Fourth Proportional to 7,765.36, 11,648.12 and 1,921.96

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Solution

The fourth proportional to 7,765.36, 11,648.12 and 1,921.96 is: 2,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.36 : 11,648.12 = 1,921.96 : x
  2. Step 2: Convert to fraction form
    7,765.36/11,648.12 = 1,921.96/x
  3. Step 3: Cross multiply
    7,765.36x = 11,648.12 × 1,921.96
  4. Step 4: Simplify right side
    7,765.36x = 22,387,220.72
  5. Step 5: Solve for x
    x = 22,387,220.72/7,765.36
  6. Step 6: Final answer
    x = 2,882.96

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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.