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Finding the Fourth Proportional to 7,830.12, 10,793.30 and 5,934.12

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Solution

The fourth proportional to 7,830.12, 10,793.30 and 5,934.12 is: 8,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.12 : 10,793.30 = 5,934.12 : x
  2. Step 2: Convert to fraction form
    7,830.12/10,793.30 = 5,934.12/x
  3. Step 3: Cross multiply
    7,830.12x = 10,793.30 × 5,934.12
  4. Step 4: Simplify right side
    7,830.12x = 64,048,737.40
  5. Step 5: Solve for x
    x = 64,048,737.40/7,830.12
  6. Step 6: Final answer
    x = 8,179.79

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