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Finding the Fourth Proportional to 7,978.30, 11,965.91 and 3,046.77

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Solution

The fourth proportional to 7,978.30, 11,965.91 and 3,046.77 is: 4,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.30 : 11,965.91 = 3,046.77 : x
  2. Step 2: Convert to fraction form
    7,978.30/11,965.91 = 3,046.77/x
  3. Step 3: Cross multiply
    7,978.30x = 11,965.91 × 3,046.77
  4. Step 4: Simplify right side
    7,978.30x = 36,457,360.38
  5. Step 5: Solve for x
    x = 36,457,360.38/7,978.30
  6. Step 6: Final answer
    x = 4,569.57

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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.