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Finding the Fourth Proportional to 12,305.34, 18,446.64 and 4,908

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Solution

The fourth proportional to 12,305.34, 18,446.64 and 4,908 is: 7,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.34 : 18,446.64 = 4,908 : x
  2. Step 2: Convert to fraction form
    12,305.34/18,446.64 = 4,908/x
  3. Step 3: Cross multiply
    12,305.34x = 18,446.64 × 4,908
  4. Step 4: Simplify right side
    12,305.34x = 90,536,109.12
  5. Step 5: Solve for x
    x = 90,536,109.12/12,305.34
  6. Step 6: Final answer
    x = 7,357.47

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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.