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Finding the Fourth Proportional to 5,172.70, 7,760.26 and 2,401.28

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Solution

The fourth proportional to 5,172.70, 7,760.26 and 2,401.28 is: 3,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.70 : 7,760.26 = 2,401.28 : x
  2. Step 2: Convert to fraction form
    5,172.70/7,760.26 = 2,401.28/x
  3. Step 3: Cross multiply
    5,172.70x = 7,760.26 × 2,401.28
  4. Step 4: Simplify right side
    5,172.70x = 18,634,557.13
  5. Step 5: Solve for x
    x = 18,634,557.13/5,172.70
  6. Step 6: Final answer
    x = 3,602.48

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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.