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Finding the Fourth Proportional to 10,010.15, 15,027.98 and 8,164.86

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Solution

The fourth proportional to 10,010.15, 15,027.98 and 8,164.86 is: 12,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.15 : 15,027.98 = 8,164.86 : x
  2. Step 2: Convert to fraction form
    10,010.15/15,027.98 = 8,164.86/x
  3. Step 3: Cross multiply
    10,010.15x = 15,027.98 × 8,164.86
  4. Step 4: Simplify right side
    10,010.15x = 122,701,311.96
  5. Step 5: Solve for x
    x = 122,701,311.96/10,010.15
  6. Step 6: Final answer
    x = 12,257.70

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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.