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Finding the Fourth Proportional to 5,919.34, 8,109.44 and 5,697.76

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Solution

The fourth proportional to 5,919.34, 8,109.44 and 5,697.76 is: 7,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.34 : 8,109.44 = 5,697.76 : x
  2. Step 2: Convert to fraction form
    5,919.34/8,109.44 = 5,697.76/x
  3. Step 3: Cross multiply
    5,919.34x = 8,109.44 × 5,697.76
  4. Step 4: Simplify right side
    5,919.34x = 46,205,642.85
  5. Step 5: Solve for x
    x = 46,205,642.85/5,919.34
  6. Step 6: Final answer
    x = 7,805.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.