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Finding the Fourth Proportional to 6,994.53, 10,493.61 and 3,098.01

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Solution

The fourth proportional to 6,994.53, 10,493.61 and 3,098.01 is: 4,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.53 : 10,493.61 = 3,098.01 : x
  2. Step 2: Convert to fraction form
    6,994.53/10,493.61 = 3,098.01/x
  3. Step 3: Cross multiply
    6,994.53x = 10,493.61 × 3,098.01
  4. Step 4: Simplify right side
    6,994.53x = 32,509,308.72
  5. Step 5: Solve for x
    x = 32,509,308.72/6,994.53
  6. Step 6: Final answer
    x = 4,647.82

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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.