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Finding the Fourth Proportional to 7,095.78, 10,644.98 and 3,395.50

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Solution

The fourth proportional to 7,095.78, 10,644.98 and 3,395.50 is: 5,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.78 : 10,644.98 = 3,395.50 : x
  2. Step 2: Convert to fraction form
    7,095.78/10,644.98 = 3,395.50/x
  3. Step 3: Cross multiply
    7,095.78x = 10,644.98 × 3,395.50
  4. Step 4: Simplify right side
    7,095.78x = 36,145,029.59
  5. Step 5: Solve for x
    x = 36,145,029.59/7,095.78
  6. Step 6: Final answer
    x = 5,093.88

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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.