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Finding the Fourth Proportional to 3,756.76, 5,635.48 and 983.42

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Solution

The fourth proportional to 3,756.76, 5,635.48 and 983.42 is: 1,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.76 : 5,635.48 = 983.42 : x
  2. Step 2: Convert to fraction form
    3,756.76/5,635.48 = 983.42/x
  3. Step 3: Cross multiply
    3,756.76x = 5,635.48 × 983.42
  4. Step 4: Simplify right side
    3,756.76x = 5,542,043.74
  5. Step 5: Solve for x
    x = 5,542,043.74/3,756.76
  6. Step 6: Final answer
    x = 1,475.22

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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.