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Finding the Fourth Proportional to 6,490.69, 9,737.25 and 3,027.94

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Solution

The fourth proportional to 6,490.69, 9,737.25 and 3,027.94 is: 4,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.69 : 9,737.25 = 3,027.94 : x
  2. Step 2: Convert to fraction form
    6,490.69/9,737.25 = 3,027.94/x
  3. Step 3: Cross multiply
    6,490.69x = 9,737.25 × 3,027.94
  4. Step 4: Simplify right side
    6,490.69x = 29,483,808.77
  5. Step 5: Solve for x
    x = 29,483,808.77/6,490.69
  6. Step 6: Final answer
    x = 4,542.48

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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.