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Finding the Fourth Proportional to 4,866.90, 6,716.45 and 2,978.44

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Solution

The fourth proportional to 4,866.90, 6,716.45 and 2,978.44 is: 4,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.90 : 6,716.45 = 2,978.44 : x
  2. Step 2: Convert to fraction form
    4,866.90/6,716.45 = 2,978.44/x
  3. Step 3: Cross multiply
    4,866.90x = 6,716.45 × 2,978.44
  4. Step 4: Simplify right side
    4,866.90x = 20,004,548.01
  5. Step 5: Solve for x
    x = 20,004,548.01/4,866.90
  6. Step 6: Final answer
    x = 4,110.33

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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.