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Finding the Fourth Proportional to 7,108.59, 9,809.93 and 3,922.02

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Solution

The fourth proportional to 7,108.59, 9,809.93 and 3,922.02 is: 5,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.59 : 9,809.93 = 3,922.02 : x
  2. Step 2: Convert to fraction form
    7,108.59/9,809.93 = 3,922.02/x
  3. Step 3: Cross multiply
    7,108.59x = 9,809.93 × 3,922.02
  4. Step 4: Simplify right side
    7,108.59x = 38,474,741.66
  5. Step 5: Solve for x
    x = 38,474,741.66/7,108.59
  6. Step 6: Final answer
    x = 5,412.43

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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.