Home / 2,142.08-3,214.04-1,046.44

Finding the Fourth Proportional to 2,142.08, 3,214.04 and 1,046.44

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Solution

The fourth proportional to 2,142.08, 3,214.04 and 1,046.44 is: 1,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.08 : 3,214.04 = 1,046.44 : x
  2. Step 2: Convert to fraction form
    2,142.08/3,214.04 = 1,046.44/x
  3. Step 3: Cross multiply
    2,142.08x = 3,214.04 × 1,046.44
  4. Step 4: Simplify right side
    2,142.08x = 3,363,300.02
  5. Step 5: Solve for x
    x = 3,363,300.02/2,142.08
  6. Step 6: Final answer
    x = 1,570.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.