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Finding the Fourth Proportional to 7,243.61, 9,998.01 and 4,101.62

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Solution

The fourth proportional to 7,243.61, 9,998.01 and 4,101.62 is: 5,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.61 : 9,998.01 = 4,101.62 : x
  2. Step 2: Convert to fraction form
    7,243.61/9,998.01 = 4,101.62/x
  3. Step 3: Cross multiply
    7,243.61x = 9,998.01 × 4,101.62
  4. Step 4: Simplify right side
    7,243.61x = 41,007,987.79
  5. Step 5: Solve for x
    x = 41,007,987.79/7,243.61
  6. Step 6: Final answer
    x = 5,661.27

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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.