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Finding the Fourth Proportional to 8,383.64, 12,573.84 and 2,538.68

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Solution

The fourth proportional to 8,383.64, 12,573.84 and 2,538.68 is: 3,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.64 : 12,573.84 = 2,538.68 : x
  2. Step 2: Convert to fraction form
    8,383.64/12,573.84 = 2,538.68/x
  3. Step 3: Cross multiply
    8,383.64x = 12,573.84 × 2,538.68
  4. Step 4: Simplify right side
    8,383.64x = 31,920,956.13
  5. Step 5: Solve for x
    x = 31,920,956.13/8,383.64
  6. Step 6: Final answer
    x = 3,807.53

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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.