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Finding the Fourth Proportional to 7,175.51, 9,902.30 and 3,989

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Solution

The fourth proportional to 7,175.51, 9,902.30 and 3,989 is: 5,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.51 : 9,902.30 = 3,989 : x
  2. Step 2: Convert to fraction form
    7,175.51/9,902.30 = 3,989/x
  3. Step 3: Cross multiply
    7,175.51x = 9,902.30 × 3,989
  4. Step 4: Simplify right side
    7,175.51x = 39,500,274.70
  5. Step 5: Solve for x
    x = 39,500,274.70/7,175.51
  6. Step 6: Final answer
    x = 5,504.87

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Why These Related Problems?

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