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Finding the Fourth Proportional to 1,712.20, 2,361.90 and 1,013.44

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Solution

The fourth proportional to 1,712.20, 2,361.90 and 1,013.44 is: 1,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.20 : 2,361.90 = 1,013.44 : x
  2. Step 2: Convert to fraction form
    1,712.20/2,361.90 = 1,013.44/x
  3. Step 3: Cross multiply
    1,712.20x = 2,361.90 × 1,013.44
  4. Step 4: Simplify right side
    1,712.20x = 2,393,643.94
  5. Step 5: Solve for x
    x = 2,393,643.94/1,712.20
  6. Step 6: Final answer
    x = 1,397.99

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