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Finding the Fourth Proportional to 7,978.39, 11,010 and 4,441.93

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Solution

The fourth proportional to 7,978.39, 11,010 and 4,441.93 is: 6,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.39 : 11,010 = 4,441.93 : x
  2. Step 2: Convert to fraction form
    7,978.39/11,010 = 4,441.93/x
  3. Step 3: Cross multiply
    7,978.39x = 11,010 × 4,441.93
  4. Step 4: Simplify right side
    7,978.39x = 48,905,649.30
  5. Step 5: Solve for x
    x = 48,905,649.30/7,978.39
  6. Step 6: Final answer
    x = 6,129.76

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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.