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Finding the Fourth Proportional to 7,173, 10,759.50 and 1,978.88

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Solution

The fourth proportional to 7,173, 10,759.50 and 1,978.88 is: 2,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173 : 10,759.50 = 1,978.88 : x
  2. Step 2: Convert to fraction form
    7,173/10,759.50 = 1,978.88/x
  3. Step 3: Cross multiply
    7,173x = 10,759.50 × 1,978.88
  4. Step 4: Simplify right side
    7,173x = 21,291,705.56
  5. Step 5: Solve for x
    x = 21,291,705.56/7,173
  6. Step 6: Final answer
    x = 2,968.31

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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.