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Finding the Fourth Proportional to 2,889.95, 4,335.05 and 2,406.41

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Solution

The fourth proportional to 2,889.95, 4,335.05 and 2,406.41 is: 3,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.95 : 4,335.05 = 2,406.41 : x
  2. Step 2: Convert to fraction form
    2,889.95/4,335.05 = 2,406.41/x
  3. Step 3: Cross multiply
    2,889.95x = 4,335.05 × 2,406.41
  4. Step 4: Simplify right side
    2,889.95x = 10,431,907.67
  5. Step 5: Solve for x
    x = 10,431,907.67/2,889.95
  6. Step 6: Final answer
    x = 3,609.72

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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.