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Finding the Fourth Proportional to 15,927.96, 21,978.90 and 9,212.52

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Solution

The fourth proportional to 15,927.96, 21,978.90 and 9,212.52 is: 12,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.96 : 21,978.90 = 9,212.52 : x
  2. Step 2: Convert to fraction form
    15,927.96/21,978.90 = 9,212.52/x
  3. Step 3: Cross multiply
    15,927.96x = 21,978.90 × 9,212.52
  4. Step 4: Simplify right side
    15,927.96x = 202,481,055.83
  5. Step 5: Solve for x
    x = 202,481,055.83/15,927.96
  6. Step 6: Final answer
    x = 12,712.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.