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Finding the Fourth Proportional to 7,775.12, 11,662.86 and 1,931.78

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Solution

The fourth proportional to 7,775.12, 11,662.86 and 1,931.78 is: 2,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.12 : 11,662.86 = 1,931.78 : x
  2. Step 2: Convert to fraction form
    7,775.12/11,662.86 = 1,931.78/x
  3. Step 3: Cross multiply
    7,775.12x = 11,662.86 × 1,931.78
  4. Step 4: Simplify right side
    7,775.12x = 22,530,079.69
  5. Step 5: Solve for x
    x = 22,530,079.69/7,775.12
  6. Step 6: Final answer
    x = 2,897.71

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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.