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Finding the Fourth Proportional to 8,117.76, 12,176.64 and 2,274.96

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Solution

The fourth proportional to 8,117.76, 12,176.64 and 2,274.96 is: 3,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.76 : 12,176.64 = 2,274.96 : x
  2. Step 2: Convert to fraction form
    8,117.76/12,176.64 = 2,274.96/x
  3. Step 3: Cross multiply
    8,117.76x = 12,176.64 × 2,274.96
  4. Step 4: Simplify right side
    8,117.76x = 27,701,368.93
  5. Step 5: Solve for x
    x = 27,701,368.93/8,117.76
  6. Step 6: Final answer
    x = 3,412.44

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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.