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Finding the Fourth Proportional to 8,403.76, 12,606.96 and 2,857.76

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Solution

The fourth proportional to 8,403.76, 12,606.96 and 2,857.76 is: 4,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.76 : 12,606.96 = 2,857.76 : x
  2. Step 2: Convert to fraction form
    8,403.76/12,606.96 = 2,857.76/x
  3. Step 3: Cross multiply
    8,403.76x = 12,606.96 × 2,857.76
  4. Step 4: Simplify right side
    8,403.76x = 36,027,666.01
  5. Step 5: Solve for x
    x = 36,027,666.01/8,403.76
  6. Step 6: Final answer
    x = 4,287.09

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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.