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Finding the Fourth Proportional to 20,574.78, 28,392.69 and 11,622

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Solution

The fourth proportional to 20,574.78, 28,392.69 and 11,622 is: 16,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.78 : 28,392.69 = 11,622 : x
  2. Step 2: Convert to fraction form
    20,574.78/28,392.69 = 11,622/x
  3. Step 3: Cross multiply
    20,574.78x = 28,392.69 × 11,622
  4. Step 4: Simplify right side
    20,574.78x = 329,979,843.18
  5. Step 5: Solve for x
    x = 329,979,843.18/20,574.78
  6. Step 6: Final answer
    x = 16,038.07

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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.