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Finding the Fourth Proportional to 2,214.43, 3,321.84 and 570.98

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Solution

The fourth proportional to 2,214.43, 3,321.84 and 570.98 is: 856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.43 : 3,321.84 = 570.98 : x
  2. Step 2: Convert to fraction form
    2,214.43/3,321.84 = 570.98/x
  3. Step 3: Cross multiply
    2,214.43x = 3,321.84 × 570.98
  4. Step 4: Simplify right side
    2,214.43x = 1,896,687.59
  5. Step 5: Solve for x
    x = 1,896,687.59/2,214.43
  6. Step 6: Final answer
    x = 856.51

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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.