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Finding the Fourth Proportional to 5,099.90, 7,649.40 and 1,401.80

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Solution

The fourth proportional to 5,099.90, 7,649.40 and 1,401.80 is: 2,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.90 : 7,649.40 = 1,401.80 : x
  2. Step 2: Convert to fraction form
    5,099.90/7,649.40 = 1,401.80/x
  3. Step 3: Cross multiply
    5,099.90x = 7,649.40 × 1,401.80
  4. Step 4: Simplify right side
    5,099.90x = 10,722,928.92
  5. Step 5: Solve for x
    x = 10,722,928.92/5,099.90
  6. Step 6: Final answer
    x = 2,102.58

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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.