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Finding the Fourth Proportional to 2,314.35, 3,471.21 and 648.63

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Solution

The fourth proportional to 2,314.35, 3,471.21 and 648.63 is: 972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.35 : 3,471.21 = 648.63 : x
  2. Step 2: Convert to fraction form
    2,314.35/3,471.21 = 648.63/x
  3. Step 3: Cross multiply
    2,314.35x = 3,471.21 × 648.63
  4. Step 4: Simplify right side
    2,314.35x = 2,251,530.94
  5. Step 5: Solve for x
    x = 2,251,530.94/2,314.35
  6. Step 6: Final answer
    x = 972.86

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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.