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Finding the Fourth Proportional to 4,203.50, 6,304.69 and 1,737.98

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Solution

The fourth proportional to 4,203.50, 6,304.69 and 1,737.98 is: 2,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.50 : 6,304.69 = 1,737.98 : x
  2. Step 2: Convert to fraction form
    4,203.50/6,304.69 = 1,737.98/x
  3. Step 3: Cross multiply
    4,203.50x = 6,304.69 × 1,737.98
  4. Step 4: Simplify right side
    4,203.50x = 10,957,416.44
  5. Step 5: Solve for x
    x = 10,957,416.44/4,203.50
  6. Step 6: Final answer
    x = 2,606.74

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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.