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Finding the Fourth Proportional to 5,111.78, 7,660.98 and 4,982.99

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Solution

The fourth proportional to 5,111.78, 7,660.98 and 4,982.99 is: 7,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.78 : 7,660.98 = 4,982.99 : x
  2. Step 2: Convert to fraction form
    5,111.78/7,660.98 = 4,982.99/x
  3. Step 3: Cross multiply
    5,111.78x = 7,660.98 × 4,982.99
  4. Step 4: Simplify right side
    5,111.78x = 38,174,548.43
  5. Step 5: Solve for x
    x = 38,174,548.43/5,111.78
  6. Step 6: Final answer
    x = 7,467.96

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1.5x scale

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.