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Finding the Fourth Proportional to 8,197.78, 11,312.74 and 4,660.77

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Solution

The fourth proportional to 8,197.78, 11,312.74 and 4,660.77 is: 6,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.78 : 11,312.74 = 4,660.77 : x
  2. Step 2: Convert to fraction form
    8,197.78/11,312.74 = 4,660.77/x
  3. Step 3: Cross multiply
    8,197.78x = 11,312.74 × 4,660.77
  4. Step 4: Simplify right side
    8,197.78x = 52,726,079.21
  5. Step 5: Solve for x
    x = 52,726,079.21/8,197.78
  6. Step 6: Final answer
    x = 6,431.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.