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Finding the Fourth Proportional to 9,870.78, 13,622.94 and 5,679.03

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Solution

The fourth proportional to 9,870.78, 13,622.94 and 5,679.03 is: 7,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.78 : 13,622.94 = 5,679.03 : x
  2. Step 2: Convert to fraction form
    9,870.78/13,622.94 = 5,679.03/x
  3. Step 3: Cross multiply
    9,870.78x = 13,622.94 × 5,679.03
  4. Step 4: Simplify right side
    9,870.78x = 77,365,084.95
  5. Step 5: Solve for x
    x = 77,365,084.95/9,870.78
  6. Step 6: Final answer
    x = 7,837.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.