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Finding the Fourth Proportional to 7,978.78, 11,010.36 and 4,441.78

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Solution

The fourth proportional to 7,978.78, 11,010.36 and 4,441.78 is: 6,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.78 : 11,010.36 = 4,441.78 : x
  2. Step 2: Convert to fraction form
    7,978.78/11,010.36 = 4,441.78/x
  3. Step 3: Cross multiply
    7,978.78x = 11,010.36 × 4,441.78
  4. Step 4: Simplify right side
    7,978.78x = 48,905,596.84
  5. Step 5: Solve for x
    x = 48,905,596.84/7,978.78
  6. Step 6: Final answer
    x = 6,129.46

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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.