Home / 2,830.78-3,906.93-1,652.14

Finding the Fourth Proportional to 2,830.78, 3,906.93 and 1,652.14

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Solution

The fourth proportional to 2,830.78, 3,906.93 and 1,652.14 is: 2,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.78 : 3,906.93 = 1,652.14 : x
  2. Step 2: Convert to fraction form
    2,830.78/3,906.93 = 1,652.14/x
  3. Step 3: Cross multiply
    2,830.78x = 3,906.93 × 1,652.14
  4. Step 4: Simplify right side
    2,830.78x = 6,454,795.33
  5. Step 5: Solve for x
    x = 6,454,795.33/2,830.78
  6. Step 6: Final answer
    x = 2,280.22

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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.