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Finding the Fourth Proportional to 20,752.13, 28,637.31 and 11,678

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Solution

The fourth proportional to 20,752.13, 28,637.31 and 11,678 is: 16,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.13 : 28,637.31 = 11,678 : x
  2. Step 2: Convert to fraction form
    20,752.13/28,637.31 = 11,678/x
  3. Step 3: Cross multiply
    20,752.13x = 28,637.31 × 11,678
  4. Step 4: Simplify right side
    20,752.13x = 334,426,506.18
  5. Step 5: Solve for x
    x = 334,426,506.18/20,752.13
  6. Step 6: Final answer
    x = 16,115.29

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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.