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Finding the Fourth Proportional to 20,574, 28,398.60 and 13,122

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Solution

The fourth proportional to 20,574, 28,398.60 and 13,122 is: 18,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574 : 28,398.60 = 13,122 : x
  2. Step 2: Convert to fraction form
    20,574/28,398.60 = 13,122/x
  3. Step 3: Cross multiply
    20,574x = 28,398.60 × 13,122
  4. Step 4: Simplify right side
    20,574x = 372,646,429.20
  5. Step 5: Solve for x
    x = 372,646,429.20/20,574
  6. Step 6: Final answer
    x = 18,112.49

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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.