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Finding the Fourth Proportional to 7,971.19, 11,957.19 and 3,039.91

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Solution

The fourth proportional to 7,971.19, 11,957.19 and 3,039.91 is: 4,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.19 : 11,957.19 = 3,039.91 : x
  2. Step 2: Convert to fraction form
    7,971.19/11,957.19 = 3,039.91/x
  3. Step 3: Cross multiply
    7,971.19x = 11,957.19 × 3,039.91
  4. Step 4: Simplify right side
    7,971.19x = 36,348,781.45
  5. Step 5: Solve for x
    x = 36,348,781.45/7,971.19
  6. Step 6: Final answer
    x = 4,560.02

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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.