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Finding the Fourth Proportional to 8,554.47, 12,822.93 and 4,105.68

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Solution

The fourth proportional to 8,554.47, 12,822.93 and 4,105.68 is: 6,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.47 : 12,822.93 = 4,105.68 : x
  2. Step 2: Convert to fraction form
    8,554.47/12,822.93 = 4,105.68/x
  3. Step 3: Cross multiply
    8,554.47x = 12,822.93 × 4,105.68
  4. Step 4: Simplify right side
    8,554.47x = 52,646,847.24
  5. Step 5: Solve for x
    x = 52,646,847.24/8,554.47
  6. Step 6: Final answer
    x = 6,154.31

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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.