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Finding the Fourth Proportional to 2,218, 3,325.18 and 920.40

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Solution

The fourth proportional to 2,218, 3,325.18 and 920.40 is: 1,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,325.18 = 920.40 : x
  2. Step 2: Convert to fraction form
    2,218/3,325.18 = 920.40/x
  3. Step 3: Cross multiply
    2,218x = 3,325.18 × 920.40
  4. Step 4: Simplify right side
    2,218x = 3,060,495.67
  5. Step 5: Solve for x
    x = 3,060,495.67/2,218
  6. Step 6: Final answer
    x = 1,379.84

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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.