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Finding the Fourth Proportional to 7,102.97, 9,802.42 and 4,119.74

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Solution

The fourth proportional to 7,102.97, 9,802.42 and 4,119.74 is: 5,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.97 : 9,802.42 = 4,119.74 : x
  2. Step 2: Convert to fraction form
    7,102.97/9,802.42 = 4,119.74/x
  3. Step 3: Cross multiply
    7,102.97x = 9,802.42 × 4,119.74
  4. Step 4: Simplify right side
    7,102.97x = 40,383,362.46
  5. Step 5: Solve for x
    x = 40,383,362.46/7,102.97
  6. Step 6: Final answer
    x = 5,685.42

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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.