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Finding the Fourth Proportional to 7,953.33, 11,929.98 and 2,109.48

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Solution

The fourth proportional to 7,953.33, 11,929.98 and 2,109.48 is: 3,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.33 : 11,929.98 = 2,109.48 : x
  2. Step 2: Convert to fraction form
    7,953.33/11,929.98 = 2,109.48/x
  3. Step 3: Cross multiply
    7,953.33x = 11,929.98 × 2,109.48
  4. Step 4: Simplify right side
    7,953.33x = 25,166,054.21
  5. Step 5: Solve for x
    x = 25,166,054.21/7,953.33
  6. Step 6: Final answer
    x = 3,164.22

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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.