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Finding the Fourth Proportional to 1,830.62, 2,746.10 and 734.84

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Solution

The fourth proportional to 1,830.62, 2,746.10 and 734.84 is: 1,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.62 : 2,746.10 = 734.84 : x
  2. Step 2: Convert to fraction form
    1,830.62/2,746.10 = 734.84/x
  3. Step 3: Cross multiply
    1,830.62x = 2,746.10 × 734.84
  4. Step 4: Simplify right side
    1,830.62x = 2,017,942.53
  5. Step 5: Solve for x
    x = 2,017,942.53/1,830.62
  6. Step 6: Final answer
    x = 1,102.33

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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.