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Finding the Fourth Proportional to 13,718.16, 20,532.36 and 7,462.56

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Solution

The fourth proportional to 13,718.16, 20,532.36 and 7,462.56 is: 11,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.16 : 20,532.36 = 7,462.56 : x
  2. Step 2: Convert to fraction form
    13,718.16/20,532.36 = 7,462.56/x
  3. Step 3: Cross multiply
    13,718.16x = 20,532.36 × 7,462.56
  4. Step 4: Simplify right side
    13,718.16x = 153,223,968.44
  5. Step 5: Solve for x
    x = 153,223,968.44/13,718.16
  6. Step 6: Final answer
    x = 11,169.43

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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.