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Finding the Fourth Proportional to 3,147.81, 4,721.25 and 1,832.19

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Solution

The fourth proportional to 3,147.81, 4,721.25 and 1,832.19 is: 2,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.81 : 4,721.25 = 1,832.19 : x
  2. Step 2: Convert to fraction form
    3,147.81/4,721.25 = 1,832.19/x
  3. Step 3: Cross multiply
    3,147.81x = 4,721.25 × 1,832.19
  4. Step 4: Simplify right side
    3,147.81x = 8,650,227.04
  5. Step 5: Solve for x
    x = 8,650,227.04/3,147.81
  6. Step 6: Final answer
    x = 2,748.01

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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.