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Finding the Fourth Proportional to 5,099.10, 7,648.11 and 1,401.66

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Solution

The fourth proportional to 5,099.10, 7,648.11 and 1,401.66 is: 2,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.10 : 7,648.11 = 1,401.66 : x
  2. Step 2: Convert to fraction form
    5,099.10/7,648.11 = 1,401.66/x
  3. Step 3: Cross multiply
    5,099.10x = 7,648.11 × 1,401.66
  4. Step 4: Simplify right side
    5,099.10x = 10,720,049.86
  5. Step 5: Solve for x
    x = 10,720,049.86/5,099.10
  6. Step 6: Final answer
    x = 2,102.34

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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.