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Finding the Fourth Proportional to 4,769.88, 7,153.45 and 1,438.45

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Solution

The fourth proportional to 4,769.88, 7,153.45 and 1,438.45 is: 2,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.88 : 7,153.45 = 1,438.45 : x
  2. Step 2: Convert to fraction form
    4,769.88/7,153.45 = 1,438.45/x
  3. Step 3: Cross multiply
    4,769.88x = 7,153.45 × 1,438.45
  4. Step 4: Simplify right side
    4,769.88x = 10,289,880.15
  5. Step 5: Solve for x
    x = 10,289,880.15/4,769.88
  6. Step 6: Final answer
    x = 2,157.26

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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.