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Finding the Fourth Proportional to 7,161.37, 9,879.78 and 4,471

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Solution

The fourth proportional to 7,161.37, 9,879.78 and 4,471 is: 6,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.37 : 9,879.78 = 4,471 : x
  2. Step 2: Convert to fraction form
    7,161.37/9,879.78 = 4,471/x
  3. Step 3: Cross multiply
    7,161.37x = 9,879.78 × 4,471
  4. Step 4: Simplify right side
    7,161.37x = 44,172,496.38
  5. Step 5: Solve for x
    x = 44,172,496.38/7,161.37
  6. Step 6: Final answer
    x = 6,168.16

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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.