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Finding the Fourth Proportional to 5,474.81, 8,204.64 and 4,742.57

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Solution

The fourth proportional to 5,474.81, 8,204.64 and 4,742.57 is: 7,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.81 : 8,204.64 = 4,742.57 : x
  2. Step 2: Convert to fraction form
    5,474.81/8,204.64 = 4,742.57/x
  3. Step 3: Cross multiply
    5,474.81x = 8,204.64 × 4,742.57
  4. Step 4: Simplify right side
    5,474.81x = 38,911,038.50
  5. Step 5: Solve for x
    x = 38,911,038.50/5,474.81
  6. Step 6: Final answer
    x = 7,107.29

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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.