Home / 2,142.13-3,214.05-1,046.20

Finding the Fourth Proportional to 2,142.13, 3,214.05 and 1,046.20

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Solution

The fourth proportional to 2,142.13, 3,214.05 and 1,046.20 is: 1,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.13 : 3,214.05 = 1,046.20 : x
  2. Step 2: Convert to fraction form
    2,142.13/3,214.05 = 1,046.20/x
  3. Step 3: Cross multiply
    2,142.13x = 3,214.05 × 1,046.20
  4. Step 4: Simplify right side
    2,142.13x = 3,362,539.11
  5. Step 5: Solve for x
    x = 3,362,539.11/2,142.13
  6. Step 6: Final answer
    x = 1,569.72

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1.5x scale

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.