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Finding the Fourth Proportional to 3,142.36, 4,713.36 and 1,293.01

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Solution

The fourth proportional to 3,142.36, 4,713.36 and 1,293.01 is: 1,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.36 : 4,713.36 = 1,293.01 : x
  2. Step 2: Convert to fraction form
    3,142.36/4,713.36 = 1,293.01/x
  3. Step 3: Cross multiply
    3,142.36x = 4,713.36 × 1,293.01
  4. Step 4: Simplify right side
    3,142.36x = 6,094,421.61
  5. Step 5: Solve for x
    x = 6,094,421.61/3,142.36
  6. Step 6: Final answer
    x = 1,939.44

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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.