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Finding the Fourth Proportional to 7,766.79, 11,650.02 and 1,923.31

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Solution

The fourth proportional to 7,766.79, 11,650.02 and 1,923.31 is: 2,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.79 : 11,650.02 = 1,923.31 : x
  2. Step 2: Convert to fraction form
    7,766.79/11,650.02 = 1,923.31/x
  3. Step 3: Cross multiply
    7,766.79x = 11,650.02 × 1,923.31
  4. Step 4: Simplify right side
    7,766.79x = 22,406,599.97
  5. Step 5: Solve for x
    x = 22,406,599.97/7,766.79
  6. Step 6: Final answer
    x = 2,884.92

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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.