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Finding the Fourth Proportional to 3,742.84, 5,614.28 and 969.32

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Solution

The fourth proportional to 3,742.84, 5,614.28 and 969.32 is: 1,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.84 : 5,614.28 = 969.32 : x
  2. Step 2: Convert to fraction form
    3,742.84/5,614.28 = 969.32/x
  3. Step 3: Cross multiply
    3,742.84x = 5,614.28 × 969.32
  4. Step 4: Simplify right side
    3,742.84x = 5,442,015.13
  5. Step 5: Solve for x
    x = 5,442,015.13/3,742.84
  6. Step 6: Final answer
    x = 1,453.98

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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.