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Finding the Fourth Proportional to 3,142, 4,713 and 833.50

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Solution

The fourth proportional to 3,142, 4,713 and 833.50 is: 1,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142 : 4,713 = 833.50 : x
  2. Step 2: Convert to fraction form
    3,142/4,713 = 833.50/x
  3. Step 3: Cross multiply
    3,142x = 4,713 × 833.50
  4. Step 4: Simplify right side
    3,142x = 3,928,285.50
  5. Step 5: Solve for x
    x = 3,928,285.50/3,142
  6. Step 6: Final answer
    x = 1,250.25

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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.