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Finding the Fourth Proportional to 19,978.74, 27,571.92 and 11,483.58

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Solution

The fourth proportional to 19,978.74, 27,571.92 and 11,483.58 is: 15,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.74 : 27,571.92 = 11,483.58 : x
  2. Step 2: Convert to fraction form
    19,978.74/27,571.92 = 11,483.58/x
  3. Step 3: Cross multiply
    19,978.74x = 27,571.92 × 11,483.58
  4. Step 4: Simplify right side
    19,978.74x = 316,624,349.07
  5. Step 5: Solve for x
    x = 316,624,349.07/19,978.74
  6. Step 6: Final answer
    x = 15,848.06

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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.