Home / 2,301.02-3,451.32-820.40

Finding the Fourth Proportional to 2,301.02, 3,451.32 and 820.40

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Solution

The fourth proportional to 2,301.02, 3,451.32 and 820.40 is: 1,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.02 : 3,451.32 = 820.40 : x
  2. Step 2: Convert to fraction form
    2,301.02/3,451.32 = 820.40/x
  3. Step 3: Cross multiply
    2,301.02x = 3,451.32 × 820.40
  4. Step 4: Simplify right side
    2,301.02x = 2,831,462.93
  5. Step 5: Solve for x
    x = 2,831,462.93/2,301.02
  6. Step 6: Final answer
    x = 1,230.53

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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.