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Finding the Fourth Proportional to 6,997.48, 10,491.70 and 3,712.12

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Solution

The fourth proportional to 6,997.48, 10,491.70 and 3,712.12 is: 5,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.48 : 10,491.70 = 3,712.12 : x
  2. Step 2: Convert to fraction form
    6,997.48/10,491.70 = 3,712.12/x
  3. Step 3: Cross multiply
    6,997.48x = 10,491.70 × 3,712.12
  4. Step 4: Simplify right side
    6,997.48x = 38,946,449.40
  5. Step 5: Solve for x
    x = 38,946,449.40/6,997.48
  6. Step 6: Final answer
    x = 5,565.78

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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.