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Finding the Fourth Proportional to 7,159.26, 9,879.86 and 3,972.62

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Solution

The fourth proportional to 7,159.26, 9,879.86 and 3,972.62 is: 5,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.26 : 9,879.86 = 3,972.62 : x
  2. Step 2: Convert to fraction form
    7,159.26/9,879.86 = 3,972.62/x
  3. Step 3: Cross multiply
    7,159.26x = 9,879.86 × 3,972.62
  4. Step 4: Simplify right side
    7,159.26x = 39,248,929.43
  5. Step 5: Solve for x
    x = 39,248,929.43/7,159.26
  6. Step 6: Final answer
    x = 5,482.26

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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.