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Finding the Fourth Proportional to 2,211.64, 3,317.84 and 912.40

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Solution

The fourth proportional to 2,211.64, 3,317.84 and 912.40 is: 1,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.64 : 3,317.84 = 912.40 : x
  2. Step 2: Convert to fraction form
    2,211.64/3,317.84 = 912.40/x
  3. Step 3: Cross multiply
    2,211.64x = 3,317.84 × 912.40
  4. Step 4: Simplify right side
    2,211.64x = 3,027,197.22
  5. Step 5: Solve for x
    x = 3,027,197.22/2,211.64
  6. Step 6: Final answer
    x = 1,368.76

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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.