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Finding the Fourth Proportional to 7,978.92, 11,010.92 and 4,621.93

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Solution

The fourth proportional to 7,978.92, 11,010.92 and 4,621.93 is: 6,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.92 : 11,010.92 = 4,621.93 : x
  2. Step 2: Convert to fraction form
    7,978.92/11,010.92 = 4,621.93/x
  3. Step 3: Cross multiply
    7,978.92x = 11,010.92 × 4,621.93
  4. Step 4: Simplify right side
    7,978.92x = 50,891,676.84
  5. Step 5: Solve for x
    x = 50,891,676.84/7,978.92
  6. Step 6: Final answer
    x = 6,378.26

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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.