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Finding the Fourth Proportional to 8,409.74, 12,615.71 and 2,861.60

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Solution

The fourth proportional to 8,409.74, 12,615.71 and 2,861.60 is: 4,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.74 : 12,615.71 = 2,861.60 : x
  2. Step 2: Convert to fraction form
    8,409.74/12,615.71 = 2,861.60/x
  3. Step 3: Cross multiply
    8,409.74x = 12,615.71 × 2,861.60
  4. Step 4: Simplify right side
    8,409.74x = 36,101,054.45
  5. Step 5: Solve for x
    x = 36,101,054.45/8,409.74
  6. Step 6: Final answer
    x = 4,292.77

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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.