Home / 2,972.52-4,102.11-1,646.25

Finding the Fourth Proportional to 2,972.52, 4,102.11 and 1,646.25

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Solution

The fourth proportional to 2,972.52, 4,102.11 and 1,646.25 is: 2,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.52 : 4,102.11 = 1,646.25 : x
  2. Step 2: Convert to fraction form
    2,972.52/4,102.11 = 1,646.25/x
  3. Step 3: Cross multiply
    2,972.52x = 4,102.11 × 1,646.25
  4. Step 4: Simplify right side
    2,972.52x = 6,753,098.59
  5. Step 5: Solve for x
    x = 6,753,098.59/2,972.52
  6. Step 6: Final answer
    x = 2,271.84

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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.