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Finding the Fourth Proportional to 7,102.08, 9,801.81 and 5,119.20

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Solution

The fourth proportional to 7,102.08, 9,801.81 and 5,119.20 is: 7,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.08 : 9,801.81 = 5,119.20 : x
  2. Step 2: Convert to fraction form
    7,102.08/9,801.81 = 5,119.20/x
  3. Step 3: Cross multiply
    7,102.08x = 9,801.81 × 5,119.20
  4. Step 4: Simplify right side
    7,102.08x = 50,177,425.75
  5. Step 5: Solve for x
    x = 50,177,425.75/7,102.08
  6. Step 6: Final answer
    x = 7,065.17

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1.5x scale

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.