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Finding the Fourth Proportional to 3,294.46, 4,936.77 and 3,051.46

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Solution

The fourth proportional to 3,294.46, 4,936.77 and 3,051.46 is: 4,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.46 : 4,936.77 = 3,051.46 : x
  2. Step 2: Convert to fraction form
    3,294.46/4,936.77 = 3,051.46/x
  3. Step 3: Cross multiply
    3,294.46x = 4,936.77 × 3,051.46
  4. Step 4: Simplify right side
    3,294.46x = 15,064,356.18
  5. Step 5: Solve for x
    x = 15,064,356.18/3,294.46
  6. Step 6: Final answer
    x = 4,572.63

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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.