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Finding the Fourth Proportional to 7,978.87, 11,010.83 and 4,621.87

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Solution

The fourth proportional to 7,978.87, 11,010.83 and 4,621.87 is: 6,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.87 : 11,010.83 = 4,621.87 : x
  2. Step 2: Convert to fraction form
    7,978.87/11,010.83 = 4,621.87/x
  3. Step 3: Cross multiply
    7,978.87x = 11,010.83 × 4,621.87
  4. Step 4: Simplify right side
    7,978.87x = 50,890,569.80
  5. Step 5: Solve for x
    x = 50,890,569.80/7,978.87
  6. Step 6: Final answer
    x = 6,378.17

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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.