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Finding the Fourth Proportional to 7,161.84, 9,887.85 and 5,838.66

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Solution

The fourth proportional to 7,161.84, 9,887.85 and 5,838.66 is: 8,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.84 : 9,887.85 = 5,838.66 : x
  2. Step 2: Convert to fraction form
    7,161.84/9,887.85 = 5,838.66/x
  3. Step 3: Cross multiply
    7,161.84x = 9,887.85 × 5,838.66
  4. Step 4: Simplify right side
    7,161.84x = 57,731,794.28
  5. Step 5: Solve for x
    x = 57,731,794.28/7,161.84
  6. Step 6: Final answer
    x = 8,061.03

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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.