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Finding the Fourth Proportional to 7,978.62, 11,967.93 and 3,590.96

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Solution

The fourth proportional to 7,978.62, 11,967.93 and 3,590.96 is: 5,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.62 : 11,967.93 = 3,590.96 : x
  2. Step 2: Convert to fraction form
    7,978.62/11,967.93 = 3,590.96/x
  3. Step 3: Cross multiply
    7,978.62x = 11,967.93 × 3,590.96
  4. Step 4: Simplify right side
    7,978.62x = 42,976,298.07
  5. Step 5: Solve for x
    x = 42,976,298.07/7,978.62
  6. Step 6: Final answer
    x = 5,386.43

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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.