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Finding the Fourth Proportional to 7,791.59, 10,764.16 and 5,109.21

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Solution

The fourth proportional to 7,791.59, 10,764.16 and 5,109.21 is: 7,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.59 : 10,764.16 = 5,109.21 : x
  2. Step 2: Convert to fraction form
    7,791.59/10,764.16 = 5,109.21/x
  3. Step 3: Cross multiply
    7,791.59x = 10,764.16 × 5,109.21
  4. Step 4: Simplify right side
    7,791.59x = 54,996,341.14
  5. Step 5: Solve for x
    x = 54,996,341.14/7,791.59
  6. Step 6: Final answer
    x = 7,058.42

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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.