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Finding the Fourth Proportional to 7,765.32, 11,647.86 and 1,921.92

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Solution

The fourth proportional to 7,765.32, 11,647.86 and 1,921.92 is: 2,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.32 : 11,647.86 = 1,921.92 : x
  2. Step 2: Convert to fraction form
    7,765.32/11,647.86 = 1,921.92/x
  3. Step 3: Cross multiply
    7,765.32x = 11,647.86 × 1,921.92
  4. Step 4: Simplify right side
    7,765.32x = 22,386,255.09
  5. Step 5: Solve for x
    x = 22,386,255.09/7,765.32
  6. Step 6: Final answer
    x = 2,882.85

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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.