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Finding the Fourth Proportional to 5,958.78, 8,260.79 and 5,642.80

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Solution

The fourth proportional to 5,958.78, 8,260.79 and 5,642.80 is: 7,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.78 : 8,260.79 = 5,642.80 : x
  2. Step 2: Convert to fraction form
    5,958.78/8,260.79 = 5,642.80/x
  3. Step 3: Cross multiply
    5,958.78x = 8,260.79 × 5,642.80
  4. Step 4: Simplify right side
    5,958.78x = 46,613,960.18
  5. Step 5: Solve for x
    x = 46,613,960.18/5,958.78
  6. Step 6: Final answer
    x = 7,822.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.