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Finding the Fourth Proportional to 7,086.88, 9,780.24 and 4,102.18

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Solution

The fourth proportional to 7,086.88, 9,780.24 and 4,102.18 is: 5,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.88 : 9,780.24 = 4,102.18 : x
  2. Step 2: Convert to fraction form
    7,086.88/9,780.24 = 4,102.18/x
  3. Step 3: Cross multiply
    7,086.88x = 9,780.24 × 4,102.18
  4. Step 4: Simplify right side
    7,086.88x = 40,120,304.92
  5. Step 5: Solve for x
    x = 40,120,304.92/7,086.88
  6. Step 6: Final answer
    x = 5,661.21

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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.