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Finding the Fourth Proportional to 30,905.43, 46,360.44 and 8,419.97

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Solution

The fourth proportional to 30,905.43, 46,360.44 and 8,419.97 is: 12,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905.43 : 46,360.44 = 8,419.97 : x
  2. Step 2: Convert to fraction form
    30,905.43/46,360.44 = 8,419.97/x
  3. Step 3: Cross multiply
    30,905.43x = 46,360.44 × 8,419.97
  4. Step 4: Simplify right side
    30,905.43x = 390,353,282.18
  5. Step 5: Solve for x
    x = 390,353,282.18/30,905.43
  6. Step 6: Final answer
    x = 12,630.57

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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.