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Finding the Fourth Proportional to 3,029.13, 4,542.99 and 838.02

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Solution

The fourth proportional to 3,029.13, 4,542.99 and 838.02 is: 1,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.13 : 4,542.99 = 838.02 : x
  2. Step 2: Convert to fraction form
    3,029.13/4,542.99 = 838.02/x
  3. Step 3: Cross multiply
    3,029.13x = 4,542.99 × 838.02
  4. Step 4: Simplify right side
    3,029.13x = 3,807,116.48
  5. Step 5: Solve for x
    x = 3,807,116.48/3,029.13
  6. Step 6: Final answer
    x = 1,256.83

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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.