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Finding the Fourth Proportional to 5,237.76, 7,226 and 2,999.20

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Solution

The fourth proportional to 5,237.76, 7,226 and 2,999.20 is: 4,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.76 : 7,226 = 2,999.20 : x
  2. Step 2: Convert to fraction form
    5,237.76/7,226 = 2,999.20/x
  3. Step 3: Cross multiply
    5,237.76x = 7,226 × 2,999.20
  4. Step 4: Simplify right side
    5,237.76x = 21,672,219.20
  5. Step 5: Solve for x
    x = 21,672,219.20/5,237.76
  6. Step 6: Final answer
    x = 4,137.69

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