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Finding the Fourth Proportional to 13,415.36, 20,062.40 and 11,588.16

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Solution

The fourth proportional to 13,415.36, 20,062.40 and 11,588.16 is: 17,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.36 : 20,062.40 = 11,588.16 : x
  2. Step 2: Convert to fraction form
    13,415.36/20,062.40 = 11,588.16/x
  3. Step 3: Cross multiply
    13,415.36x = 20,062.40 × 11,588.16
  4. Step 4: Simplify right side
    13,415.36x = 232,486,301.18
  5. Step 5: Solve for x
    x = 232,486,301.18/13,415.36
  6. Step 6: Final answer
    x = 17,329.86

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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.