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Finding the Fourth Proportional to 21,151.88, 31,706.22 and 7,289

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Solution

The fourth proportional to 21,151.88, 31,706.22 and 7,289 is: 10,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151.88 : 31,706.22 = 7,289 : x
  2. Step 2: Convert to fraction form
    21,151.88/31,706.22 = 7,289/x
  3. Step 3: Cross multiply
    21,151.88x = 31,706.22 × 7,289
  4. Step 4: Simplify right side
    21,151.88x = 231,106,637.58
  5. Step 5: Solve for x
    x = 231,106,637.58/21,151.88
  6. Step 6: Final answer
    x = 10,926.06

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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.