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Finding the Fourth Proportional to 7,078, 9,768.72 and 4,285.12

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Solution

The fourth proportional to 7,078, 9,768.72 and 4,285.12 is: 5,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078 : 9,768.72 = 4,285.12 : x
  2. Step 2: Convert to fraction form
    7,078/9,768.72 = 4,285.12/x
  3. Step 3: Cross multiply
    7,078x = 9,768.72 × 4,285.12
  4. Step 4: Simplify right side
    7,078x = 41,860,137.45
  5. Step 5: Solve for x
    x = 41,860,137.45/7,078
  6. Step 6: Final answer
    x = 5,914.12

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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.