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Finding the Fourth Proportional to 6,860.86, 9,468.57 and 5,739.82

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Solution

The fourth proportional to 6,860.86, 9,468.57 and 5,739.82 is: 7,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.86 : 9,468.57 = 5,739.82 : x
  2. Step 2: Convert to fraction form
    6,860.86/9,468.57 = 5,739.82/x
  3. Step 3: Cross multiply
    6,860.86x = 9,468.57 × 5,739.82
  4. Step 4: Simplify right side
    6,860.86x = 54,347,887.46
  5. Step 5: Solve for x
    x = 54,347,887.46/6,860.86
  6. Step 6: Final answer
    x = 7,921.44

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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.