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Finding the Fourth Proportional to 8,657.54, 12,987.93 and 2,815.82

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Solution

The fourth proportional to 8,657.54, 12,987.93 and 2,815.82 is: 4,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.54 : 12,987.93 = 2,815.82 : x
  2. Step 2: Convert to fraction form
    8,657.54/12,987.93 = 2,815.82/x
  3. Step 3: Cross multiply
    8,657.54x = 12,987.93 × 2,815.82
  4. Step 4: Simplify right side
    8,657.54x = 36,571,673.05
  5. Step 5: Solve for x
    x = 36,571,673.05/8,657.54
  6. Step 6: Final answer
    x = 4,224.26

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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.