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Finding the Fourth Proportional to 7,901.94, 11,852.19 and 2,971.38

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Solution

The fourth proportional to 7,901.94, 11,852.19 and 2,971.38 is: 4,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.94 : 11,852.19 = 2,971.38 : x
  2. Step 2: Convert to fraction form
    7,901.94/11,852.19 = 2,971.38/x
  3. Step 3: Cross multiply
    7,901.94x = 11,852.19 × 2,971.38
  4. Step 4: Simplify right side
    7,901.94x = 35,217,360.32
  5. Step 5: Solve for x
    x = 35,217,360.32/7,901.94
  6. Step 6: Final answer
    x = 4,456.80

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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.