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Finding the Fourth Proportional to 5,097.87, 7,643.21 and 1,975.28

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Solution

The fourth proportional to 5,097.87, 7,643.21 and 1,975.28 is: 2,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.87 : 7,643.21 = 1,975.28 : x
  2. Step 2: Convert to fraction form
    5,097.87/7,643.21 = 1,975.28/x
  3. Step 3: Cross multiply
    5,097.87x = 7,643.21 × 1,975.28
  4. Step 4: Simplify right side
    5,097.87x = 15,097,431.76
  5. Step 5: Solve for x
    x = 15,097,431.76/5,097.87
  6. Step 6: Final answer
    x = 2,961.52

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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.