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Finding the Fourth Proportional to 7,879.68, 11,830.32 and 4,949.28

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Solution

The fourth proportional to 7,879.68, 11,830.32 and 4,949.28 is: 7,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.68 : 11,830.32 = 4,949.28 : x
  2. Step 2: Convert to fraction form
    7,879.68/11,830.32 = 4,949.28/x
  3. Step 3: Cross multiply
    7,879.68x = 11,830.32 × 4,949.28
  4. Step 4: Simplify right side
    7,879.68x = 58,551,566.17
  5. Step 5: Solve for x
    x = 58,551,566.17/7,879.68
  6. Step 6: Final answer
    x = 7,430.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.