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Finding the Fourth Proportional to 8,203.76, 12,305.68 and 2,047.76

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Solution

The fourth proportional to 8,203.76, 12,305.68 and 2,047.76 is: 3,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.76 : 12,305.68 = 2,047.76 : x
  2. Step 2: Convert to fraction form
    8,203.76/12,305.68 = 2,047.76/x
  3. Step 3: Cross multiply
    8,203.76x = 12,305.68 × 2,047.76
  4. Step 4: Simplify right side
    8,203.76x = 25,199,079.28
  5. Step 5: Solve for x
    x = 25,199,079.28/8,203.76
  6. Step 6: Final answer
    x = 3,071.65

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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.