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Finding the Fourth Proportional to 30,676.33, 46,015.53 and 8,487.86

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Solution

The fourth proportional to 30,676.33, 46,015.53 and 8,487.86 is: 12,732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.33 : 46,015.53 = 8,487.86 : x
  2. Step 2: Convert to fraction form
    30,676.33/46,015.53 = 8,487.86/x
  3. Step 3: Cross multiply
    30,676.33x = 46,015.53 × 8,487.86
  4. Step 4: Simplify right side
    30,676.33x = 390,573,114.56
  5. Step 5: Solve for x
    x = 390,573,114.56/30,676.33
  6. Step 6: Final answer
    x = 12,732.07

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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.