Home / 2,972.64-4,102.44-1,646.68

Finding the Fourth Proportional to 2,972.64, 4,102.44 and 1,646.68

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Solution

The fourth proportional to 2,972.64, 4,102.44 and 1,646.68 is: 2,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.64 : 4,102.44 = 1,646.68 : x
  2. Step 2: Convert to fraction form
    2,972.64/4,102.44 = 1,646.68/x
  3. Step 3: Cross multiply
    2,972.64x = 4,102.44 × 1,646.68
  4. Step 4: Simplify right side
    2,972.64x = 6,755,405.90
  5. Step 5: Solve for x
    x = 6,755,405.90/2,972.64
  6. Step 6: Final answer
    x = 2,272.53

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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.