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Finding the Fourth Proportional to 9,819, 13,546.80 and 5,569.56

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Solution

The fourth proportional to 9,819, 13,546.80 and 5,569.56 is: 7,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 13,546.80 = 5,569.56 : x
  2. Step 2: Convert to fraction form
    9,819/13,546.80 = 5,569.56/x
  3. Step 3: Cross multiply
    9,819x = 13,546.80 × 5,569.56
  4. Step 4: Simplify right side
    9,819x = 75,449,715.41
  5. Step 5: Solve for x
    x = 75,449,715.41/9,819
  6. Step 6: Final answer
    x = 7,684.05

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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.