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Finding the Fourth Proportional to 4,830, 7,247.72 and 4,793.28

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Solution

The fourth proportional to 4,830, 7,247.72 and 4,793.28 is: 7,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830 : 7,247.72 = 4,793.28 : x
  2. Step 2: Convert to fraction form
    4,830/7,247.72 = 4,793.28/x
  3. Step 3: Cross multiply
    4,830x = 7,247.72 × 4,793.28
  4. Step 4: Simplify right side
    4,830x = 34,740,351.32
  5. Step 5: Solve for x
    x = 34,740,351.32/4,830
  6. Step 6: Final answer
    x = 7,192.62

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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.