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Finding the Fourth Proportional to 3,234.50, 4,463.61 and 1,762.50

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Solution

The fourth proportional to 3,234.50, 4,463.61 and 1,762.50 is: 2,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.50 : 4,463.61 = 1,762.50 : x
  2. Step 2: Convert to fraction form
    3,234.50/4,463.61 = 1,762.50/x
  3. Step 3: Cross multiply
    3,234.50x = 4,463.61 × 1,762.50
  4. Step 4: Simplify right side
    3,234.50x = 7,867,112.63
  5. Step 5: Solve for x
    x = 7,867,112.63/3,234.50
  6. Step 6: Final answer
    x = 2,432.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.