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Finding the Fourth Proportional to 13,681.56, 18,880.56 and 7,393.94

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Solution

The fourth proportional to 13,681.56, 18,880.56 and 7,393.94 is: 10,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.56 : 18,880.56 = 7,393.94 : x
  2. Step 2: Convert to fraction form
    13,681.56/18,880.56 = 7,393.94/x
  3. Step 3: Cross multiply
    13,681.56x = 18,880.56 × 7,393.94
  4. Step 4: Simplify right side
    13,681.56x = 139,601,727.81
  5. Step 5: Solve for x
    x = 139,601,727.81/13,681.56
  6. Step 6: Final answer
    x = 10,203.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.