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Finding the Fourth Proportional to 21,810.56, 32,717.76 and 7,960.64

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Solution

The fourth proportional to 21,810.56, 32,717.76 and 7,960.64 is: 11,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.56 : 32,717.76 = 7,960.64 : x
  2. Step 2: Convert to fraction form
    21,810.56/32,717.76 = 7,960.64/x
  3. Step 3: Cross multiply
    21,810.56x = 32,717.76 × 7,960.64
  4. Step 4: Simplify right side
    21,810.56x = 260,454,308.97
  5. Step 5: Solve for x
    x = 260,454,308.97/21,810.56
  6. Step 6: Final answer
    x = 11,941.66

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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.