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Finding the Fourth Proportional to 8,634.34, 12,949.80 and 3,953.08

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Solution

The fourth proportional to 8,634.34, 12,949.80 and 3,953.08 is: 5,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.34 : 12,949.80 = 3,953.08 : x
  2. Step 2: Convert to fraction form
    8,634.34/12,949.80 = 3,953.08/x
  3. Step 3: Cross multiply
    8,634.34x = 12,949.80 × 3,953.08
  4. Step 4: Simplify right side
    8,634.34x = 51,191,595.38
  5. Step 5: Solve for x
    x = 51,191,595.38/8,634.34
  6. Step 6: Final answer
    x = 5,928.84

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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.