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Finding the Fourth Proportional to 1,781.90, 2,672.94 and 808.07

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Solution

The fourth proportional to 1,781.90, 2,672.94 and 808.07 is: 1,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.90 : 2,672.94 = 808.07 : x
  2. Step 2: Convert to fraction form
    1,781.90/2,672.94 = 808.07/x
  3. Step 3: Cross multiply
    1,781.90x = 2,672.94 × 808.07
  4. Step 4: Simplify right side
    1,781.90x = 2,159,922.63
  5. Step 5: Solve for x
    x = 2,159,922.63/1,781.90
  6. Step 6: Final answer
    x = 1,212.15

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1.5x scale

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.