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Finding the Fourth Proportional to 2,146.31, 3,219.49 and 607.31

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Solution

The fourth proportional to 2,146.31, 3,219.49 and 607.31 is: 910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.31 : 3,219.49 = 607.31 : x
  2. Step 2: Convert to fraction form
    2,146.31/3,219.49 = 607.31/x
  3. Step 3: Cross multiply
    2,146.31x = 3,219.49 × 607.31
  4. Step 4: Simplify right side
    2,146.31x = 1,955,210.86
  5. Step 5: Solve for x
    x = 1,955,210.86/2,146.31
  6. Step 6: Final answer
    x = 910.97

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Double scale
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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.