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Finding the Fourth Proportional to 1,917.66, 2,877.71 and 685.07

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Solution

The fourth proportional to 1,917.66, 2,877.71 and 685.07 is: 1,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.66 : 2,877.71 = 685.07 : x
  2. Step 2: Convert to fraction form
    1,917.66/2,877.71 = 685.07/x
  3. Step 3: Cross multiply
    1,917.66x = 2,877.71 × 685.07
  4. Step 4: Simplify right side
    1,917.66x = 1,971,414.98
  5. Step 5: Solve for x
    x = 1,971,414.98/1,917.66
  6. Step 6: Final answer
    x = 1,028.03

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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.