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Finding the Fourth Proportional to 6,137.50, 9,206.34 and 1,520.50

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Solution

The fourth proportional to 6,137.50, 9,206.34 and 1,520.50 is: 2,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.50 : 9,206.34 = 1,520.50 : x
  2. Step 2: Convert to fraction form
    6,137.50/9,206.34 = 1,520.50/x
  3. Step 3: Cross multiply
    6,137.50x = 9,206.34 × 1,520.50
  4. Step 4: Simplify right side
    6,137.50x = 13,998,239.97
  5. Step 5: Solve for x
    x = 13,998,239.97/6,137.50
  6. Step 6: Final answer
    x = 2,280.77

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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.