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Finding the Fourth Proportional to 11,399.68, 17,108.66 and 4,830.45

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Solution

The fourth proportional to 11,399.68, 17,108.66 and 4,830.45 is: 7,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.68 : 17,108.66 = 4,830.45 : x
  2. Step 2: Convert to fraction form
    11,399.68/17,108.66 = 4,830.45/x
  3. Step 3: Cross multiply
    11,399.68x = 17,108.66 × 4,830.45
  4. Step 4: Simplify right side
    11,399.68x = 82,642,526.70
  5. Step 5: Solve for x
    x = 82,642,526.70/11,399.68
  6. Step 6: Final answer
    x = 7,249.55

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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.