Home / 5,200.43-7,178.31-4,140.14

Finding the Fourth Proportional to 5,200.43, 7,178.31 and 4,140.14

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Solution

The fourth proportional to 5,200.43, 7,178.31 and 4,140.14 is: 5,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.43 : 7,178.31 = 4,140.14 : x
  2. Step 2: Convert to fraction form
    5,200.43/7,178.31 = 4,140.14/x
  3. Step 3: Cross multiply
    5,200.43x = 7,178.31 × 4,140.14
  4. Step 4: Simplify right side
    5,200.43x = 29,719,208.36
  5. Step 5: Solve for x
    x = 29,719,208.36/5,200.43
  6. Step 6: Final answer
    x = 5,714.76

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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.