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Finding the Fourth Proportional to 7,175.13, 9,903.75 and 4,942.56

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Solution

The fourth proportional to 7,175.13, 9,903.75 and 4,942.56 is: 6,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.13 : 9,903.75 = 4,942.56 : x
  2. Step 2: Convert to fraction form
    7,175.13/9,903.75 = 4,942.56/x
  3. Step 3: Cross multiply
    7,175.13x = 9,903.75 × 4,942.56
  4. Step 4: Simplify right side
    7,175.13x = 48,949,878.60
  5. Step 5: Solve for x
    x = 48,949,878.60/7,175.13
  6. Step 6: Final answer
    x = 6,822.16

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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.