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Finding the Fourth Proportional to 6,765, 10,138.59 and 2,864.58

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Solution

The fourth proportional to 6,765, 10,138.59 and 2,864.58 is: 4,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765 : 10,138.59 = 2,864.58 : x
  2. Step 2: Convert to fraction form
    6,765/10,138.59 = 2,864.58/x
  3. Step 3: Cross multiply
    6,765x = 10,138.59 × 2,864.58
  4. Step 4: Simplify right side
    6,765x = 29,042,802.14
  5. Step 5: Solve for x
    x = 29,042,802.14/6,765
  6. Step 6: Final answer
    x = 4,293.10

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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.