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Finding the Fourth Proportional to 10,769.63, 16,154.64 and 2,978.64

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Solution

The fourth proportional to 10,769.63, 16,154.64 and 2,978.64 is: 4,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.63 : 16,154.64 = 2,978.64 : x
  2. Step 2: Convert to fraction form
    10,769.63/16,154.64 = 2,978.64/x
  3. Step 3: Cross multiply
    10,769.63x = 16,154.64 × 2,978.64
  4. Step 4: Simplify right side
    10,769.63x = 48,118,856.89
  5. Step 5: Solve for x
    x = 48,118,856.89/10,769.63
  6. Step 6: Final answer
    x = 4,468.02

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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.