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Finding the Fourth Proportional to 7,978, 11,005.86 and 5,621.44

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Solution

The fourth proportional to 7,978, 11,005.86 and 5,621.44 is: 7,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978 : 11,005.86 = 5,621.44 : x
  2. Step 2: Convert to fraction form
    7,978/11,005.86 = 5,621.44/x
  3. Step 3: Cross multiply
    7,978x = 11,005.86 × 5,621.44
  4. Step 4: Simplify right side
    7,978x = 61,868,781.64
  5. Step 5: Solve for x
    x = 61,868,781.64/7,978
  6. Step 6: Final answer
    x = 7,754.92

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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.