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Finding the Fourth Proportional to 5,161, 7,122.08 and 2,923.32

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Solution

The fourth proportional to 5,161, 7,122.08 and 2,923.32 is: 4,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161 : 7,122.08 = 2,923.32 : x
  2. Step 2: Convert to fraction form
    5,161/7,122.08 = 2,923.32/x
  3. Step 3: Cross multiply
    5,161x = 7,122.08 × 2,923.32
  4. Step 4: Simplify right side
    5,161x = 20,820,118.91
  5. Step 5: Solve for x
    x = 20,820,118.91/5,161
  6. Step 6: Final answer
    x = 4,034.12

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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.