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Finding the Fourth Proportional to 10,000.80, 13,800.80 and 5,463.41

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Solution

The fourth proportional to 10,000.80, 13,800.80 and 5,463.41 is: 7,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.80 : 13,800.80 = 5,463.41 : x
  2. Step 2: Convert to fraction form
    10,000.80/13,800.80 = 5,463.41/x
  3. Step 3: Cross multiply
    10,000.80x = 13,800.80 × 5,463.41
  4. Step 4: Simplify right side
    10,000.80x = 75,399,401.41
  5. Step 5: Solve for x
    x = 75,399,401.41/10,000.80
  6. Step 6: Final answer
    x = 7,539.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.