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Finding the Fourth Proportional to 8,634.63, 12,933.14 and 5,292.77

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Solution

The fourth proportional to 8,634.63, 12,933.14 and 5,292.77 is: 7,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.63 : 12,933.14 = 5,292.77 : x
  2. Step 2: Convert to fraction form
    8,634.63/12,933.14 = 5,292.77/x
  3. Step 3: Cross multiply
    8,634.63x = 12,933.14 × 5,292.77
  4. Step 4: Simplify right side
    8,634.63x = 68,452,044.27
  5. Step 5: Solve for x
    x = 68,452,044.27/8,634.63
  6. Step 6: Final answer
    x = 7,927.62

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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.