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Finding the Fourth Proportional to 13,153.16, 19,728.36 and 5,258.99

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Solution

The fourth proportional to 13,153.16, 19,728.36 and 5,258.99 is: 7,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.16 : 19,728.36 = 5,258.99 : x
  2. Step 2: Convert to fraction form
    13,153.16/19,728.36 = 5,258.99/x
  3. Step 3: Cross multiply
    13,153.16x = 19,728.36 × 5,258.99
  4. Step 4: Simplify right side
    13,153.16x = 103,751,297.28
  5. Step 5: Solve for x
    x = 103,751,297.28/13,153.16
  6. Step 6: Final answer
    x = 7,887.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.