Home / 2,144.10-3,214.47-846.54

Finding the Fourth Proportional to 2,144.10, 3,214.47 and 846.54

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Solution

The fourth proportional to 2,144.10, 3,214.47 and 846.54 is: 1,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.10 : 3,214.47 = 846.54 : x
  2. Step 2: Convert to fraction form
    2,144.10/3,214.47 = 846.54/x
  3. Step 3: Cross multiply
    2,144.10x = 3,214.47 × 846.54
  4. Step 4: Simplify right side
    2,144.10x = 2,721,177.43
  5. Step 5: Solve for x
    x = 2,721,177.43/2,144.10
  6. Step 6: Final answer
    x = 1,269.15

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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.