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Finding the Fourth Proportional to 3,937.17, 5,905.80 and 1,858.80

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Solution

The fourth proportional to 3,937.17, 5,905.80 and 1,858.80 is: 2,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.17 : 5,905.80 = 1,858.80 : x
  2. Step 2: Convert to fraction form
    3,937.17/5,905.80 = 1,858.80/x
  3. Step 3: Cross multiply
    3,937.17x = 5,905.80 × 1,858.80
  4. Step 4: Simplify right side
    3,937.17x = 10,977,701.04
  5. Step 5: Solve for x
    x = 10,977,701.04/3,937.17
  6. Step 6: Final answer
    x = 2,788.22

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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.