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Finding the Fourth Proportional to 3,937.99, 5,905.52 and 1,305.01

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Solution

The fourth proportional to 3,937.99, 5,905.52 and 1,305.01 is: 1,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.99 : 5,905.52 = 1,305.01 : x
  2. Step 2: Convert to fraction form
    3,937.99/5,905.52 = 1,305.01/x
  3. Step 3: Cross multiply
    3,937.99x = 5,905.52 × 1,305.01
  4. Step 4: Simplify right side
    3,937.99x = 7,706,756.13
  5. Step 5: Solve for x
    x = 7,706,756.13/3,937.99
  6. Step 6: Final answer
    x = 1,957.03

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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.