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Finding the Fourth Proportional to 21,970.67, 32,963.04 and 7,930.56

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Solution

The fourth proportional to 21,970.67, 32,963.04 and 7,930.56 is: 11,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.67 : 32,963.04 = 7,930.56 : x
  2. Step 2: Convert to fraction form
    21,970.67/32,963.04 = 7,930.56/x
  3. Step 3: Cross multiply
    21,970.67x = 32,963.04 × 7,930.56
  4. Step 4: Simplify right side
    21,970.67x = 261,415,366.50
  5. Step 5: Solve for x
    x = 261,415,366.50/21,970.67
  6. Step 6: Final answer
    x = 11,898.38

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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.