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Finding the Fourth Proportional to 5,139.63, 7,086.22 and 4,194.46

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Solution

The fourth proportional to 5,139.63, 7,086.22 and 4,194.46 is: 5,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.63 : 7,086.22 = 4,194.46 : x
  2. Step 2: Convert to fraction form
    5,139.63/7,086.22 = 4,194.46/x
  3. Step 3: Cross multiply
    5,139.63x = 7,086.22 × 4,194.46
  4. Step 4: Simplify right side
    5,139.63x = 29,722,866.34
  5. Step 5: Solve for x
    x = 29,722,866.34/5,139.63
  6. Step 6: Final answer
    x = 5,783.08

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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.