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Finding the Fourth Proportional to 3,142.86, 4,713.81 and 921.09

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Solution

The fourth proportional to 3,142.86, 4,713.81 and 921.09 is: 1,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.86 : 4,713.81 = 921.09 : x
  2. Step 2: Convert to fraction form
    3,142.86/4,713.81 = 921.09/x
  3. Step 3: Cross multiply
    3,142.86x = 4,713.81 × 921.09
  4. Step 4: Simplify right side
    3,142.86x = 4,341,843.25
  5. Step 5: Solve for x
    x = 4,341,843.25/3,142.86
  6. Step 6: Final answer
    x = 1,381.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.