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Finding the Fourth Proportional to 8,971.32, 12,380.10 and 4,992.60

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Solution

The fourth proportional to 8,971.32, 12,380.10 and 4,992.60 is: 6,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.32 : 12,380.10 = 4,992.60 : x
  2. Step 2: Convert to fraction form
    8,971.32/12,380.10 = 4,992.60/x
  3. Step 3: Cross multiply
    8,971.32x = 12,380.10 × 4,992.60
  4. Step 4: Simplify right side
    8,971.32x = 61,808,887.26
  5. Step 5: Solve for x
    x = 61,808,887.26/8,971.32
  6. Step 6: Final answer
    x = 6,889.61

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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.