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Finding the Fourth Proportional to 2,657.63, 3,985.81 and 808.27

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Solution

The fourth proportional to 2,657.63, 3,985.81 and 808.27 is: 1,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.63 : 3,985.81 = 808.27 : x
  2. Step 2: Convert to fraction form
    2,657.63/3,985.81 = 808.27/x
  3. Step 3: Cross multiply
    2,657.63x = 3,985.81 × 808.27
  4. Step 4: Simplify right side
    2,657.63x = 3,221,598.66
  5. Step 5: Solve for x
    x = 3,221,598.66/2,657.63
  6. Step 6: Final answer
    x = 1,212.21

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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.