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Finding the Fourth Proportional to 11,350.99, 16,998 and 7,178.41

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Solution

The fourth proportional to 11,350.99, 16,998 and 7,178.41 is: 10,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.99 : 16,998 = 7,178.41 : x
  2. Step 2: Convert to fraction form
    11,350.99/16,998 = 7,178.41/x
  3. Step 3: Cross multiply
    11,350.99x = 16,998 × 7,178.41
  4. Step 4: Simplify right side
    11,350.99x = 122,018,613.18
  5. Step 5: Solve for x
    x = 122,018,613.18/11,350.99
  6. Step 6: Final answer
    x = 10,749.60

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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.