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Finding the Fourth Proportional to 30,679.34, 46,020.03 and 8,490.86

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Solution

The fourth proportional to 30,679.34, 46,020.03 and 8,490.86 is: 12,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.34 : 46,020.03 = 8,490.86 : x
  2. Step 2: Convert to fraction form
    30,679.34/46,020.03 = 8,490.86/x
  3. Step 3: Cross multiply
    30,679.34x = 46,020.03 × 8,490.86
  4. Step 4: Simplify right side
    30,679.34x = 390,749,401.83
  5. Step 5: Solve for x
    x = 390,749,401.83/30,679.34
  6. Step 6: Final answer
    x = 12,736.57

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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.