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Finding the Fourth Proportional to 10,420.88, 15,630.84 and 3,846.64

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Solution

The fourth proportional to 10,420.88, 15,630.84 and 3,846.64 is: 5,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.88 : 15,630.84 = 3,846.64 : x
  2. Step 2: Convert to fraction form
    10,420.88/15,630.84 = 3,846.64/x
  3. Step 3: Cross multiply
    10,420.88x = 15,630.84 × 3,846.64
  4. Step 4: Simplify right side
    10,420.88x = 60,126,214.38
  5. Step 5: Solve for x
    x = 60,126,214.38/10,420.88
  6. Step 6: Final answer
    x = 5,769.78

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1.5x scale

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.