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Finding the Fourth Proportional to 2,146.43, 3,219.68 and 607.43

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Solution

The fourth proportional to 2,146.43, 3,219.68 and 607.43 is: 911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.43 : 3,219.68 = 607.43 : x
  2. Step 2: Convert to fraction form
    2,146.43/3,219.68 = 607.43/x
  3. Step 3: Cross multiply
    2,146.43x = 3,219.68 × 607.43
  4. Step 4: Simplify right side
    2,146.43x = 1,955,730.22
  5. Step 5: Solve for x
    x = 1,955,730.22/2,146.43
  6. Step 6: Final answer
    x = 911.15

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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.