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Finding the Fourth Proportional to 7,161.75, 9,888.89 and 5,677.43

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Solution

The fourth proportional to 7,161.75, 9,888.89 and 5,677.43 is: 7,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.75 : 9,888.89 = 5,677.43 : x
  2. Step 2: Convert to fraction form
    7,161.75/9,888.89 = 5,677.43/x
  3. Step 3: Cross multiply
    7,161.75x = 9,888.89 × 5,677.43
  4. Step 4: Simplify right side
    7,161.75x = 56,143,402.92
  5. Step 5: Solve for x
    x = 56,143,402.92/7,161.75
  6. Step 6: Final answer
    x = 7,839.34

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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.