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Finding the Fourth Proportional to 3,983.52, 5,971.20 and 1,384.32

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Solution

The fourth proportional to 3,983.52, 5,971.20 and 1,384.32 is: 2,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.52 : 5,971.20 = 1,384.32 : x
  2. Step 2: Convert to fraction form
    3,983.52/5,971.20 = 1,384.32/x
  3. Step 3: Cross multiply
    3,983.52x = 5,971.20 × 1,384.32
  4. Step 4: Simplify right side
    3,983.52x = 8,266,051.58
  5. Step 5: Solve for x
    x = 8,266,051.58/3,983.52
  6. Step 6: Final answer
    x = 2,075.06

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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.