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Finding the Fourth Proportional to 3,029.85, 4,543.85 and 838.05

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Solution

The fourth proportional to 3,029.85, 4,543.85 and 838.05 is: 1,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.85 : 4,543.85 = 838.05 : x
  2. Step 2: Convert to fraction form
    3,029.85/4,543.85 = 838.05/x
  3. Step 3: Cross multiply
    3,029.85x = 4,543.85 × 838.05
  4. Step 4: Simplify right side
    3,029.85x = 3,807,969.30
  5. Step 5: Solve for x
    x = 3,807,969.30/3,029.85
  6. Step 6: Final answer
    x = 1,256.82

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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.