Home / 2,972.52-4,102.31-1,646.35

Finding the Fourth Proportional to 2,972.52, 4,102.31 and 1,646.35

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Solution

The fourth proportional to 2,972.52, 4,102.31 and 1,646.35 is: 2,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.52 : 4,102.31 = 1,646.35 : x
  2. Step 2: Convert to fraction form
    2,972.52/4,102.31 = 1,646.35/x
  3. Step 3: Cross multiply
    2,972.52x = 4,102.31 × 1,646.35
  4. Step 4: Simplify right side
    2,972.52x = 6,753,817.56
  5. Step 5: Solve for x
    x = 6,753,817.56/2,972.52
  6. Step 6: Final answer
    x = 2,272.08

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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.