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Finding the Fourth Proportional to 8,643.86, 12,953.52 and 6,662

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Solution

The fourth proportional to 8,643.86, 12,953.52 and 6,662 is: 9,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.86 : 12,953.52 = 6,662 : x
  2. Step 2: Convert to fraction form
    8,643.86/12,953.52 = 6,662/x
  3. Step 3: Cross multiply
    8,643.86x = 12,953.52 × 6,662
  4. Step 4: Simplify right side
    8,643.86x = 86,296,350.24
  5. Step 5: Solve for x
    x = 86,296,350.24/8,643.86
  6. Step 6: Final answer
    x = 9,983.54

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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.