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Finding the Fourth Proportional to 21,284.83, 31,929.07 and 6,493.89

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Solution

The fourth proportional to 21,284.83, 31,929.07 and 6,493.89 is: 9,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.83 : 31,929.07 = 6,493.89 : x
  2. Step 2: Convert to fraction form
    21,284.83/31,929.07 = 6,493.89/x
  3. Step 3: Cross multiply
    21,284.83x = 31,929.07 × 6,493.89
  4. Step 4: Simplify right side
    21,284.83x = 207,343,868.38
  5. Step 5: Solve for x
    x = 207,343,868.38/21,284.83
  6. Step 6: Final answer
    x = 9,741.39

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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.