Home / 2,232.08-3,078.24-1,610

Finding the Fourth Proportional to 2,232.08, 3,078.24 and 1,610

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Solution

The fourth proportional to 2,232.08, 3,078.24 and 1,610 is: 2,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.08 : 3,078.24 = 1,610 : x
  2. Step 2: Convert to fraction form
    2,232.08/3,078.24 = 1,610/x
  3. Step 3: Cross multiply
    2,232.08x = 3,078.24 × 1,610
  4. Step 4: Simplify right side
    2,232.08x = 4,955,966.40
  5. Step 5: Solve for x
    x = 4,955,966.40/2,232.08
  6. Step 6: Final answer
    x = 2,220.34

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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.