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Finding the Fourth Proportional to 2,214.88, 3,322.30 and 571.42

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Solution

The fourth proportional to 2,214.88, 3,322.30 and 571.42 is: 857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.88 : 3,322.30 = 571.42 : x
  2. Step 2: Convert to fraction form
    2,214.88/3,322.30 = 571.42/x
  3. Step 3: Cross multiply
    2,214.88x = 3,322.30 × 571.42
  4. Step 4: Simplify right side
    2,214.88x = 1,898,428.67
  5. Step 5: Solve for x
    x = 1,898,428.67/2,214.88
  6. Step 6: Final answer
    x = 857.12

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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.