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Finding the Fourth Proportional to 9,828.54, 13,563.65 and 5,579.51

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Solution

The fourth proportional to 9,828.54, 13,563.65 and 5,579.51 is: 7,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.54 : 13,563.65 = 5,579.51 : x
  2. Step 2: Convert to fraction form
    9,828.54/13,563.65 = 5,579.51/x
  3. Step 3: Cross multiply
    9,828.54x = 13,563.65 × 5,579.51
  4. Step 4: Simplify right side
    9,828.54x = 75,678,466.94
  5. Step 5: Solve for x
    x = 75,678,466.94/9,828.54
  6. Step 6: Final answer
    x = 7,699.87

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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.