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Finding the Fourth Proportional to 30,557.29, 45,835.97 and 8,370.86

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Solution

The fourth proportional to 30,557.29, 45,835.97 and 8,370.86 is: 12,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.29 : 45,835.97 = 8,370.86 : x
  2. Step 2: Convert to fraction form
    30,557.29/45,835.97 = 8,370.86/x
  3. Step 3: Cross multiply
    30,557.29x = 45,835.97 × 8,370.86
  4. Step 4: Simplify right side
    30,557.29x = 383,686,237.73
  5. Step 5: Solve for x
    x = 383,686,237.73/30,557.29
  6. Step 6: Final answer
    x = 12,556.29

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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.