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Finding the Fourth Proportional to 8,128.64, 12,197.64 and 3,448.28

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Solution

The fourth proportional to 8,128.64, 12,197.64 and 3,448.28 is: 5,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.64 : 12,197.64 = 3,448.28 : x
  2. Step 2: Convert to fraction form
    8,128.64/12,197.64 = 3,448.28/x
  3. Step 3: Cross multiply
    8,128.64x = 12,197.64 × 3,448.28
  4. Step 4: Simplify right side
    8,128.64x = 42,060,878.06
  5. Step 5: Solve for x
    x = 42,060,878.06/8,128.64
  6. Step 6: Final answer
    x = 5,174.41

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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.