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Finding the Fourth Proportional to 13,681.63, 18,880.62 and 7,394

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Solution

The fourth proportional to 13,681.63, 18,880.62 and 7,394 is: 10,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.63 : 18,880.62 = 7,394 : x
  2. Step 2: Convert to fraction form
    13,681.63/18,880.62 = 7,394/x
  3. Step 3: Cross multiply
    13,681.63x = 18,880.62 × 7,394
  4. Step 4: Simplify right side
    13,681.63x = 139,603,304.28
  5. Step 5: Solve for x
    x = 139,603,304.28/13,681.63
  6. Step 6: Final answer
    x = 10,203.70

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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.