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Finding the Fourth Proportional to 5,099.74, 7,648.34 and 1,401.79

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Solution

The fourth proportional to 5,099.74, 7,648.34 and 1,401.79 is: 2,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.74 : 7,648.34 = 1,401.79 : x
  2. Step 2: Convert to fraction form
    5,099.74/7,648.34 = 1,401.79/x
  3. Step 3: Cross multiply
    5,099.74x = 7,648.34 × 1,401.79
  4. Step 4: Simplify right side
    5,099.74x = 10,721,328.29
  5. Step 5: Solve for x
    x = 10,721,328.29/5,099.74
  6. Step 6: Final answer
    x = 2,102.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.