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Finding the Fourth Proportional to 8,648.86, 12,974.13 and 2,323.66

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Solution

The fourth proportional to 8,648.86, 12,974.13 and 2,323.66 is: 3,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.86 : 12,974.13 = 2,323.66 : x
  2. Step 2: Convert to fraction form
    8,648.86/12,974.13 = 2,323.66/x
  3. Step 3: Cross multiply
    8,648.86x = 12,974.13 × 2,323.66
  4. Step 4: Simplify right side
    8,648.86x = 30,147,466.92
  5. Step 5: Solve for x
    x = 30,147,466.92/8,648.86
  6. Step 6: Final answer
    x = 3,485.72

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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.