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Finding the Fourth Proportional to 7,726.57, 10,662.57 and 4,189.74

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Solution

The fourth proportional to 7,726.57, 10,662.57 and 4,189.74 is: 5,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.57 : 10,662.57 = 4,189.74 : x
  2. Step 2: Convert to fraction form
    7,726.57/10,662.57 = 4,189.74/x
  3. Step 3: Cross multiply
    7,726.57x = 10,662.57 × 4,189.74
  4. Step 4: Simplify right side
    7,726.57x = 44,673,356.05
  5. Step 5: Solve for x
    x = 44,673,356.05/7,726.57
  6. Step 6: Final answer
    x = 5,781.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.