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Finding the Fourth Proportional to 10,865.86, 14,994.15 and 6,149.86

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Solution

The fourth proportional to 10,865.86, 14,994.15 and 6,149.86 is: 8,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.86 : 14,994.15 = 6,149.86 : x
  2. Step 2: Convert to fraction form
    10,865.86/14,994.15 = 6,149.86/x
  3. Step 3: Cross multiply
    10,865.86x = 14,994.15 × 6,149.86
  4. Step 4: Simplify right side
    10,865.86x = 92,211,923.32
  5. Step 5: Solve for x
    x = 92,211,923.32/10,865.86
  6. Step 6: Final answer
    x = 8,486.39

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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.