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Finding the Fourth Proportional to 7,175.76, 9,902.41 and 4,381.26

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Solution

The fourth proportional to 7,175.76, 9,902.41 and 4,381.26 is: 6,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.76 : 9,902.41 = 4,381.26 : x
  2. Step 2: Convert to fraction form
    7,175.76/9,902.41 = 4,381.26/x
  3. Step 3: Cross multiply
    7,175.76x = 9,902.41 × 4,381.26
  4. Step 4: Simplify right side
    7,175.76x = 43,385,032.84
  5. Step 5: Solve for x
    x = 43,385,032.84/7,175.76
  6. Step 6: Final answer
    x = 6,046.05

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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.