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Finding the Fourth Proportional to 2,156.68, 3,234.29 and 840.33

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Solution

The fourth proportional to 2,156.68, 3,234.29 and 840.33 is: 1,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.68 : 3,234.29 = 840.33 : x
  2. Step 2: Convert to fraction form
    2,156.68/3,234.29 = 840.33/x
  3. Step 3: Cross multiply
    2,156.68x = 3,234.29 × 840.33
  4. Step 4: Simplify right side
    2,156.68x = 2,717,870.92
  5. Step 5: Solve for x
    x = 2,717,870.92/2,156.68
  6. Step 6: Final answer
    x = 1,260.21

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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.