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Finding the Fourth Proportional to 8,503.63, 12,736.98 and 4,111.88

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Solution

The fourth proportional to 8,503.63, 12,736.98 and 4,111.88 is: 6,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.63 : 12,736.98 = 4,111.88 : x
  2. Step 2: Convert to fraction form
    8,503.63/12,736.98 = 4,111.88/x
  3. Step 3: Cross multiply
    8,503.63x = 12,736.98 × 4,111.88
  4. Step 4: Simplify right side
    8,503.63x = 52,372,869.64
  5. Step 5: Solve for x
    x = 52,372,869.64/8,503.63
  6. Step 6: Final answer
    x = 6,158.89

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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.