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Finding the Fourth Proportional to 30,768.86, 46,153.28 and 7,395.30

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Solution

The fourth proportional to 30,768.86, 46,153.28 and 7,395.30 is: 11,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.86 : 46,153.28 = 7,395.30 : x
  2. Step 2: Convert to fraction form
    30,768.86/46,153.28 = 7,395.30/x
  3. Step 3: Cross multiply
    30,768.86x = 46,153.28 × 7,395.30
  4. Step 4: Simplify right side
    30,768.86x = 341,317,351.58
  5. Step 5: Solve for x
    x = 341,317,351.58/30,768.86
  6. Step 6: Final answer
    x = 11,092.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.