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Finding the Fourth Proportional to 9,825.81, 13,558.10 and 5,633.25

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Solution

The fourth proportional to 9,825.81, 13,558.10 and 5,633.25 is: 7,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.81 : 13,558.10 = 5,633.25 : x
  2. Step 2: Convert to fraction form
    9,825.81/13,558.10 = 5,633.25/x
  3. Step 3: Cross multiply
    9,825.81x = 13,558.10 × 5,633.25
  4. Step 4: Simplify right side
    9,825.81x = 76,376,138.66
  5. Step 5: Solve for x
    x = 76,376,138.66/9,825.81
  6. Step 6: Final answer
    x = 7,773.01

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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.