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Finding the Fourth Proportional to 5,057.26, 6,978.74 and 3,863.07

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Solution

The fourth proportional to 5,057.26, 6,978.74 and 3,863.07 is: 5,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.26 : 6,978.74 = 3,863.07 : x
  2. Step 2: Convert to fraction form
    5,057.26/6,978.74 = 3,863.07/x
  3. Step 3: Cross multiply
    5,057.26x = 6,978.74 × 3,863.07
  4. Step 4: Simplify right side
    5,057.26x = 26,959,341.82
  5. Step 5: Solve for x
    x = 26,959,341.82/5,057.26
  6. Step 6: Final answer
    x = 5,330.82

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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.