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Finding the Fourth Proportional to 4,978.90, 7,472.40 and 4,816.90

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Solution

The fourth proportional to 4,978.90, 7,472.40 and 4,816.90 is: 7,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.90 : 7,472.40 = 4,816.90 : x
  2. Step 2: Convert to fraction form
    4,978.90/7,472.40 = 4,816.90/x
  3. Step 3: Cross multiply
    4,978.90x = 7,472.40 × 4,816.90
  4. Step 4: Simplify right side
    4,978.90x = 35,993,803.56
  5. Step 5: Solve for x
    x = 35,993,803.56/4,978.90
  6. Step 6: Final answer
    x = 7,229.27

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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.