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Finding the Fourth Proportional to 11,458, 17,166.90 and 8,153.80

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Solution

The fourth proportional to 11,458, 17,166.90 and 8,153.80 is: 12,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458 : 17,166.90 = 8,153.80 : x
  2. Step 2: Convert to fraction form
    11,458/17,166.90 = 8,153.80/x
  3. Step 3: Cross multiply
    11,458x = 17,166.90 × 8,153.80
  4. Step 4: Simplify right side
    11,458x = 139,975,469.22
  5. Step 5: Solve for x
    x = 139,975,469.22/11,458
  6. Step 6: Final answer
    x = 12,216.40

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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.