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Finding the Fourth Proportional to 6,815.63, 10,224.63 and 2,657.90

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Solution

The fourth proportional to 6,815.63, 10,224.63 and 2,657.90 is: 3,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.63 : 10,224.63 = 2,657.90 : x
  2. Step 2: Convert to fraction form
    6,815.63/10,224.63 = 2,657.90/x
  3. Step 3: Cross multiply
    6,815.63x = 10,224.63 × 2,657.90
  4. Step 4: Simplify right side
    6,815.63x = 27,176,044.08
  5. Step 5: Solve for x
    x = 27,176,044.08/6,815.63
  6. Step 6: Final answer
    x = 3,987.31

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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.