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Finding the Fourth Proportional to 8,587.24, 12,893.92 and 8,164.37

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Solution

The fourth proportional to 8,587.24, 12,893.92 and 8,164.37 is: 12,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.24 : 12,893.92 = 8,164.37 : x
  2. Step 2: Convert to fraction form
    8,587.24/12,893.92 = 8,164.37/x
  3. Step 3: Cross multiply
    8,587.24x = 12,893.92 × 8,164.37
  4. Step 4: Simplify right side
    8,587.24x = 105,270,745.45
  5. Step 5: Solve for x
    x = 105,270,745.45/8,587.24
  6. Step 6: Final answer
    x = 12,258.98

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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.