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Finding the Fourth Proportional to 19,873, 27,424.74 and 11,490.04

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Solution

The fourth proportional to 19,873, 27,424.74 and 11,490.04 is: 15,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873 : 27,424.74 = 11,490.04 : x
  2. Step 2: Convert to fraction form
    19,873/27,424.74 = 11,490.04/x
  3. Step 3: Cross multiply
    19,873x = 27,424.74 × 11,490.04
  4. Step 4: Simplify right side
    19,873x = 315,111,359.59
  5. Step 5: Solve for x
    x = 315,111,359.59/19,873
  6. Step 6: Final answer
    x = 15,856.26

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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.