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Finding the Fourth Proportional to 19,978.24, 27,569.92 and 11,025.76

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Solution

The fourth proportional to 19,978.24, 27,569.92 and 11,025.76 is: 15,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.24 : 27,569.92 = 11,025.76 : x
  2. Step 2: Convert to fraction form
    19,978.24/27,569.92 = 11,025.76/x
  3. Step 3: Cross multiply
    19,978.24x = 27,569.92 × 11,025.76
  4. Step 4: Simplify right side
    19,978.24x = 303,979,321.14
  5. Step 5: Solve for x
    x = 303,979,321.14/19,978.24
  6. Step 6: Final answer
    x = 15,215.52

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1.5x scale

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.