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Finding the Fourth Proportional to 1,705.34, 2,343.16 and 1,355.42

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Solution

The fourth proportional to 1,705.34, 2,343.16 and 1,355.42 is: 1,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.34 : 2,343.16 = 1,355.42 : x
  2. Step 2: Convert to fraction form
    1,705.34/2,343.16 = 1,355.42/x
  3. Step 3: Cross multiply
    1,705.34x = 2,343.16 × 1,355.42
  4. Step 4: Simplify right side
    1,705.34x = 3,175,954.21
  5. Step 5: Solve for x
    x = 3,175,954.21/1,705.34
  6. Step 6: Final answer
    x = 1,862.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.