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Finding the Fourth Proportional to 8,589.36, 12,883.50 and 5,124

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Solution

The fourth proportional to 8,589.36, 12,883.50 and 5,124 is: 7,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.36 : 12,883.50 = 5,124 : x
  2. Step 2: Convert to fraction form
    8,589.36/12,883.50 = 5,124/x
  3. Step 3: Cross multiply
    8,589.36x = 12,883.50 × 5,124
  4. Step 4: Simplify right side
    8,589.36x = 66,015,054
  5. Step 5: Solve for x
    x = 66,015,054/8,589.36
  6. Step 6: Final answer
    x = 7,685.68

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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.