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Finding the Fourth Proportional to 2,222, 3,331.18 and 924.40

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Solution

The fourth proportional to 2,222, 3,331.18 and 924.40 is: 1,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222 : 3,331.18 = 924.40 : x
  2. Step 2: Convert to fraction form
    2,222/3,331.18 = 924.40/x
  3. Step 3: Cross multiply
    2,222x = 3,331.18 × 924.40
  4. Step 4: Simplify right side
    2,222x = 3,079,342.79
  5. Step 5: Solve for x
    x = 3,079,342.79/2,222
  6. Step 6: Final answer
    x = 1,385.84

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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.