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Finding the Fourth Proportional to 5,578, 7,697.64 and 3,094.48

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Solution

The fourth proportional to 5,578, 7,697.64 and 3,094.48 is: 4,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578 : 7,697.64 = 3,094.48 : x
  2. Step 2: Convert to fraction form
    5,578/7,697.64 = 3,094.48/x
  3. Step 3: Cross multiply
    5,578x = 7,697.64 × 3,094.48
  4. Step 4: Simplify right side
    5,578x = 23,820,193.03
  5. Step 5: Solve for x
    x = 23,820,193.03/5,578
  6. Step 6: Final answer
    x = 4,270.38

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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.