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Finding the Fourth Proportional to 8,146.64, 12,209.84 and 2,946.80

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Solution

The fourth proportional to 8,146.64, 12,209.84 and 2,946.80 is: 4,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.64 : 12,209.84 = 2,946.80 : x
  2. Step 2: Convert to fraction form
    8,146.64/12,209.84 = 2,946.80/x
  3. Step 3: Cross multiply
    8,146.64x = 12,209.84 × 2,946.80
  4. Step 4: Simplify right side
    8,146.64x = 35,979,956.51
  5. Step 5: Solve for x
    x = 35,979,956.51/8,146.64
  6. Step 6: Final answer
    x = 4,416.54

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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.