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Finding the Fourth Proportional to 7,937.50, 11,906.80 and 3,320.50

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Solution

The fourth proportional to 7,937.50, 11,906.80 and 3,320.50 is: 4,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.50 : 11,906.80 = 3,320.50 : x
  2. Step 2: Convert to fraction form
    7,937.50/11,906.80 = 3,320.50/x
  3. Step 3: Cross multiply
    7,937.50x = 11,906.80 × 3,320.50
  4. Step 4: Simplify right side
    7,937.50x = 39,536,529.40
  5. Step 5: Solve for x
    x = 39,536,529.40/7,937.50
  6. Step 6: Final answer
    x = 4,980.98

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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.