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Finding the Fourth Proportional to 3,937.66, 5,907.94 and 1,830.26

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Solution

The fourth proportional to 3,937.66, 5,907.94 and 1,830.26 is: 2,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.66 : 5,907.94 = 1,830.26 : x
  2. Step 2: Convert to fraction form
    3,937.66/5,907.94 = 1,830.26/x
  3. Step 3: Cross multiply
    3,937.66x = 5,907.94 × 1,830.26
  4. Step 4: Simplify right side
    3,937.66x = 10,813,066.26
  5. Step 5: Solve for x
    x = 10,813,066.26/3,937.66
  6. Step 6: Final answer
    x = 2,746.06

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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.