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Finding the Fourth Proportional to 2,907.50, 4,363.07 and 1,609.88

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Solution

The fourth proportional to 2,907.50, 4,363.07 and 1,609.88 is: 2,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.50 : 4,363.07 = 1,609.88 : x
  2. Step 2: Convert to fraction form
    2,907.50/4,363.07 = 1,609.88/x
  3. Step 3: Cross multiply
    2,907.50x = 4,363.07 × 1,609.88
  4. Step 4: Simplify right side
    2,907.50x = 7,023,989.27
  5. Step 5: Solve for x
    x = 7,023,989.27/2,907.50
  6. Step 6: Final answer
    x = 2,415.82

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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.