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Finding the Fourth Proportional to 21,099.15, 31,656 and 7,955.28

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Solution

The fourth proportional to 21,099.15, 31,656 and 7,955.28 is: 11,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,099.15 : 31,656 = 7,955.28 : x
  2. Step 2: Convert to fraction form
    21,099.15/31,656 = 7,955.28/x
  3. Step 3: Cross multiply
    21,099.15x = 31,656 × 7,955.28
  4. Step 4: Simplify right side
    21,099.15x = 251,832,343.68
  5. Step 5: Solve for x
    x = 251,832,343.68/21,099.15
  6. Step 6: Final answer
    x = 11,935.66

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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.