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Finding the Fourth Proportional to 7,768.64, 11,652.15 and 2,221.63

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Solution

The fourth proportional to 7,768.64, 11,652.15 and 2,221.63 is: 3,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.64 : 11,652.15 = 2,221.63 : x
  2. Step 2: Convert to fraction form
    7,768.64/11,652.15 = 2,221.63/x
  3. Step 3: Cross multiply
    7,768.64x = 11,652.15 × 2,221.63
  4. Step 4: Simplify right side
    7,768.64x = 25,886,766.00
  5. Step 5: Solve for x
    x = 25,886,766.00/7,768.64
  6. Step 6: Final answer
    x = 3,332.21

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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.