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Finding the Fourth Proportional to 11,176.60, 16,821.64 and 8,417.20

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Solution

The fourth proportional to 11,176.60, 16,821.64 and 8,417.20 is: 12,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.60 : 16,821.64 = 8,417.20 : x
  2. Step 2: Convert to fraction form
    11,176.60/16,821.64 = 8,417.20/x
  3. Step 3: Cross multiply
    11,176.60x = 16,821.64 × 8,417.20
  4. Step 4: Simplify right side
    11,176.60x = 141,591,108.21
  5. Step 5: Solve for x
    x = 141,591,108.21/11,176.60
  6. Step 6: Final answer
    x = 12,668.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.