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Finding the Fourth Proportional to 6,578, 9,868.56 and 1,961.12

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Solution

The fourth proportional to 6,578, 9,868.56 and 1,961.12 is: 2,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 9,868.56 = 1,961.12 : x
  2. Step 2: Convert to fraction form
    6,578/9,868.56 = 1,961.12/x
  3. Step 3: Cross multiply
    6,578x = 9,868.56 × 1,961.12
  4. Step 4: Simplify right side
    6,578x = 19,353,430.39
  5. Step 5: Solve for x
    x = 19,353,430.39/6,578
  6. Step 6: Final answer
    x = 2,942.15

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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.