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Finding the Fourth Proportional to 7,775.43, 11,705.14 and 7,086.52

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Solution

The fourth proportional to 7,775.43, 11,705.14 and 7,086.52 is: 10,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.43 : 11,705.14 = 7,086.52 : x
  2. Step 2: Convert to fraction form
    7,775.43/11,705.14 = 7,086.52/x
  3. Step 3: Cross multiply
    7,775.43x = 11,705.14 × 7,086.52
  4. Step 4: Simplify right side
    7,775.43x = 82,948,708.71
  5. Step 5: Solve for x
    x = 82,948,708.71/7,775.43
  6. Step 6: Final answer
    x = 10,668.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.