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Finding the Fourth Proportional to 8,589.74, 12,889.44 and 4,640.94

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Solution

The fourth proportional to 8,589.74, 12,889.44 and 4,640.94 is: 6,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.74 : 12,889.44 = 4,640.94 : x
  2. Step 2: Convert to fraction form
    8,589.74/12,889.44 = 4,640.94/x
  3. Step 3: Cross multiply
    8,589.74x = 12,889.44 × 4,640.94
  4. Step 4: Simplify right side
    8,589.74x = 59,819,117.67
  5. Step 5: Solve for x
    x = 59,819,117.67/8,589.74
  6. Step 6: Final answer
    x = 6,964.02

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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.