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Finding the Fourth Proportional to 2,223.08, 3,335.02 and 761.90

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Solution

The fourth proportional to 2,223.08, 3,335.02 and 761.90 is: 1,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.08 : 3,335.02 = 761.90 : x
  2. Step 2: Convert to fraction form
    2,223.08/3,335.02 = 761.90/x
  3. Step 3: Cross multiply
    2,223.08x = 3,335.02 × 761.90
  4. Step 4: Simplify right side
    2,223.08x = 2,540,947.93
  5. Step 5: Solve for x
    x = 2,540,947.93/2,223.08
  6. Step 6: Final answer
    x = 1,142.99

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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.