Home / 5,407.31-8,114.61-2,120

Finding the Fourth Proportional to 5,407.31, 8,114.61 and 2,120

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Solution

The fourth proportional to 5,407.31, 8,114.61 and 2,120 is: 3,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.31 : 8,114.61 = 2,120 : x
  2. Step 2: Convert to fraction form
    5,407.31/8,114.61 = 2,120/x
  3. Step 3: Cross multiply
    5,407.31x = 8,114.61 × 2,120
  4. Step 4: Simplify right side
    5,407.31x = 17,202,973.20
  5. Step 5: Solve for x
    x = 17,202,973.20/5,407.31
  6. Step 6: Final answer
    x = 3,181.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.