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Finding the Fourth Proportional to 8,127, 11,215.26 and 4,815

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Solution

The fourth proportional to 8,127, 11,215.26 and 4,815 is: 6,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127 : 11,215.26 = 4,815 : x
  2. Step 2: Convert to fraction form
    8,127/11,215.26 = 4,815/x
  3. Step 3: Cross multiply
    8,127x = 11,215.26 × 4,815
  4. Step 4: Simplify right side
    8,127x = 54,001,476.90
  5. Step 5: Solve for x
    x = 54,001,476.90/8,127
  6. Step 6: Final answer
    x = 6,644.70

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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.