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Finding the Fourth Proportional to 1,711.31, 2,361.61 and 925.36

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Solution

The fourth proportional to 1,711.31, 2,361.61 and 925.36 is: 1,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.31 : 2,361.61 = 925.36 : x
  2. Step 2: Convert to fraction form
    1,711.31/2,361.61 = 925.36/x
  3. Step 3: Cross multiply
    1,711.31x = 2,361.61 × 925.36
  4. Step 4: Simplify right side
    1,711.31x = 2,185,327.62
  5. Step 5: Solve for x
    x = 2,185,327.62/1,711.31
  6. Step 6: Final answer
    x = 1,276.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.