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Finding the Fourth Proportional to 9,379, 12,949 and 6,023.24

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Solution

The fourth proportional to 9,379, 12,949 and 6,023.24 is: 8,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379 : 12,949 = 6,023.24 : x
  2. Step 2: Convert to fraction form
    9,379/12,949 = 6,023.24/x
  3. Step 3: Cross multiply
    9,379x = 12,949 × 6,023.24
  4. Step 4: Simplify right side
    9,379x = 77,994,934.76
  5. Step 5: Solve for x
    x = 77,994,934.76/9,379
  6. Step 6: Final answer
    x = 8,315.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.