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Finding the Fourth Proportional to 4,774, 7,161.18 and 1,487.08

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Solution

The fourth proportional to 4,774, 7,161.18 and 1,487.08 is: 2,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774 : 7,161.18 = 1,487.08 : x
  2. Step 2: Convert to fraction form
    4,774/7,161.18 = 1,487.08/x
  3. Step 3: Cross multiply
    4,774x = 7,161.18 × 1,487.08
  4. Step 4: Simplify right side
    4,774x = 10,649,247.55
  5. Step 5: Solve for x
    x = 10,649,247.55/4,774
  6. Step 6: Final answer
    x = 2,230.68

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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.