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Finding the Fourth Proportional to 13,728.51, 18,948.74 and 9,019.17

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Solution

The fourth proportional to 13,728.51, 18,948.74 and 9,019.17 is: 12,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.51 : 18,948.74 = 9,019.17 : x
  2. Step 2: Convert to fraction form
    13,728.51/18,948.74 = 9,019.17/x
  3. Step 3: Cross multiply
    13,728.51x = 18,948.74 × 9,019.17
  4. Step 4: Simplify right side
    13,728.51x = 170,901,862.25
  5. Step 5: Solve for x
    x = 170,901,862.25/13,728.51
  6. Step 6: Final answer
    x = 12,448.68

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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.