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Finding the Fourth Proportional to 4,805.20, 7,173.05 and 4,222

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Solution

The fourth proportional to 4,805.20, 7,173.05 and 4,222 is: 6,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.20 : 7,173.05 = 4,222 : x
  2. Step 2: Convert to fraction form
    4,805.20/7,173.05 = 4,222/x
  3. Step 3: Cross multiply
    4,805.20x = 7,173.05 × 4,222
  4. Step 4: Simplify right side
    4,805.20x = 30,284,617.10
  5. Step 5: Solve for x
    x = 30,284,617.10/4,805.20
  6. Step 6: Final answer
    x = 6,302.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.