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Finding the Fourth Proportional to 7,766.66, 11,575.05 and 7,754.31

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Solution

The fourth proportional to 7,766.66, 11,575.05 and 7,754.31 is: 11,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.66 : 11,575.05 = 7,754.31 : x
  2. Step 2: Convert to fraction form
    7,766.66/11,575.05 = 7,754.31/x
  3. Step 3: Cross multiply
    7,766.66x = 11,575.05 × 7,754.31
  4. Step 4: Simplify right side
    7,766.66x = 89,756,525.97
  5. Step 5: Solve for x
    x = 89,756,525.97/7,766.66
  6. Step 6: Final answer
    x = 11,556.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.