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Finding the Fourth Proportional to 19,784, 27,301.92 and 11,400.52

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Solution

The fourth proportional to 19,784, 27,301.92 and 11,400.52 is: 15,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 27,301.92 = 11,400.52 : x
  2. Step 2: Convert to fraction form
    19,784/27,301.92 = 11,400.52/x
  3. Step 3: Cross multiply
    19,784x = 27,301.92 × 11,400.52
  4. Step 4: Simplify right side
    19,784x = 311,256,085.00
  5. Step 5: Solve for x
    x = 311,256,085.00/19,784
  6. Step 6: Final answer
    x = 15,732.72

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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.