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Finding the Fourth Proportional to 8,486.80, 11,712.36 and 4,903

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Solution

The fourth proportional to 8,486.80, 11,712.36 and 4,903 is: 6,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.80 : 11,712.36 = 4,903 : x
  2. Step 2: Convert to fraction form
    8,486.80/11,712.36 = 4,903/x
  3. Step 3: Cross multiply
    8,486.80x = 11,712.36 × 4,903
  4. Step 4: Simplify right side
    8,486.80x = 57,425,701.08
  5. Step 5: Solve for x
    x = 57,425,701.08/8,486.80
  6. Step 6: Final answer
    x = 6,766.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.