Home / 2,253.06-3,102.30-1,971.68

Finding the Fourth Proportional to 2,253.06, 3,102.30 and 1,971.68

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Solution

The fourth proportional to 2,253.06, 3,102.30 and 1,971.68 is: 2,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.06 : 3,102.30 = 1,971.68 : x
  2. Step 2: Convert to fraction form
    2,253.06/3,102.30 = 1,971.68/x
  3. Step 3: Cross multiply
    2,253.06x = 3,102.30 × 1,971.68
  4. Step 4: Simplify right side
    2,253.06x = 6,116,727.35
  5. Step 5: Solve for x
    x = 6,116,727.35/2,253.06
  6. Step 6: Final answer
    x = 2,714.85

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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.