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Finding the Fourth Proportional to 10,650.78, 15,970.05 and 4,072.86

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Solution

The fourth proportional to 10,650.78, 15,970.05 and 4,072.86 is: 6,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.78 : 15,970.05 = 4,072.86 : x
  2. Step 2: Convert to fraction form
    10,650.78/15,970.05 = 4,072.86/x
  3. Step 3: Cross multiply
    10,650.78x = 15,970.05 × 4,072.86
  4. Step 4: Simplify right side
    10,650.78x = 65,043,777.84
  5. Step 5: Solve for x
    x = 65,043,777.84/10,650.78
  6. Step 6: Final answer
    x = 6,106.95

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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.