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Finding the Fourth Proportional to 20,768, 31,153.86 and 8,285

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Solution

The fourth proportional to 20,768, 31,153.86 and 8,285 is: 12,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 31,153.86 = 8,285 : x
  2. Step 2: Convert to fraction form
    20,768/31,153.86 = 8,285/x
  3. Step 3: Cross multiply
    20,768x = 31,153.86 × 8,285
  4. Step 4: Simplify right side
    20,768x = 258,109,730.10
  5. Step 5: Solve for x
    x = 258,109,730.10/20,768
  6. Step 6: Final answer
    x = 12,428.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.