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Finding the Fourth Proportional to 20,415, 28,172.16 and 11,463.48

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Solution

The fourth proportional to 20,415, 28,172.16 and 11,463.48 is: 15,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415 : 28,172.16 = 11,463.48 : x
  2. Step 2: Convert to fraction form
    20,415/28,172.16 = 11,463.48/x
  3. Step 3: Cross multiply
    20,415x = 28,172.16 × 11,463.48
  4. Step 4: Simplify right side
    20,415x = 322,950,992.72
  5. Step 5: Solve for x
    x = 322,950,992.72/20,415
  6. Step 6: Final answer
    x = 15,819.30

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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.