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Finding the Fourth Proportional to 1,737.01, 2,611.16 and 1,394.10

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Solution

The fourth proportional to 1,737.01, 2,611.16 and 1,394.10 is: 2,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.01 : 2,611.16 = 1,394.10 : x
  2. Step 2: Convert to fraction form
    1,737.01/2,611.16 = 1,394.10/x
  3. Step 3: Cross multiply
    1,737.01x = 2,611.16 × 1,394.10
  4. Step 4: Simplify right side
    1,737.01x = 3,640,211.19
  5. Step 5: Solve for x
    x = 3,640,211.19/1,737.01
  6. Step 6: Final answer
    x = 2,095.68

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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.