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Finding the Fourth Proportional to 8,323.86, 12,486.21 and 2,776.98

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Solution

The fourth proportional to 8,323.86, 12,486.21 and 2,776.98 is: 4,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.86 : 12,486.21 = 2,776.98 : x
  2. Step 2: Convert to fraction form
    8,323.86/12,486.21 = 2,776.98/x
  3. Step 3: Cross multiply
    8,323.86x = 12,486.21 × 2,776.98
  4. Step 4: Simplify right side
    8,323.86x = 34,673,955.45
  5. Step 5: Solve for x
    x = 34,673,955.45/8,323.86
  6. Step 6: Final answer
    x = 4,165.61

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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.