Home / 2,214.72-3,322.26-916.20

Finding the Fourth Proportional to 2,214.72, 3,322.26 and 916.20

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Solution

The fourth proportional to 2,214.72, 3,322.26 and 916.20 is: 1,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.72 : 3,322.26 = 916.20 : x
  2. Step 2: Convert to fraction form
    2,214.72/3,322.26 = 916.20/x
  3. Step 3: Cross multiply
    2,214.72x = 3,322.26 × 916.20
  4. Step 4: Simplify right side
    2,214.72x = 3,043,854.61
  5. Step 5: Solve for x
    x = 3,043,854.61/2,214.72
  6. Step 6: Final answer
    x = 1,374.37

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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.