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Finding the Fourth Proportional to 5,953.25, 8,929.80 and 1,450.33

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Solution

The fourth proportional to 5,953.25, 8,929.80 and 1,450.33 is: 2,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.25 : 8,929.80 = 1,450.33 : x
  2. Step 2: Convert to fraction form
    5,953.25/8,929.80 = 1,450.33/x
  3. Step 3: Cross multiply
    5,953.25x = 8,929.80 × 1,450.33
  4. Step 4: Simplify right side
    5,953.25x = 12,951,156.83
  5. Step 5: Solve for x
    x = 12,951,156.83/5,953.25
  6. Step 6: Final answer
    x = 2,175.48

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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.