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Finding the Fourth Proportional to 7,102, 9,801.66 and 5,119.12

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Solution

The fourth proportional to 7,102, 9,801.66 and 5,119.12 is: 7,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102 : 9,801.66 = 5,119.12 : x
  2. Step 2: Convert to fraction form
    7,102/9,801.66 = 5,119.12/x
  3. Step 3: Cross multiply
    7,102x = 9,801.66 × 5,119.12
  4. Step 4: Simplify right side
    7,102x = 50,175,873.74
  5. Step 5: Solve for x
    x = 50,175,873.74/7,102
  6. Step 6: Final answer
    x = 7,065.03

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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.