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Finding the Fourth Proportional to 13,893.76, 19,175.04 and 8,304.64

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Solution

The fourth proportional to 13,893.76, 19,175.04 and 8,304.64 is: 11,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.76 : 19,175.04 = 8,304.64 : x
  2. Step 2: Convert to fraction form
    13,893.76/19,175.04 = 8,304.64/x
  3. Step 3: Cross multiply
    13,893.76x = 19,175.04 × 8,304.64
  4. Step 4: Simplify right side
    13,893.76x = 159,241,804.19
  5. Step 5: Solve for x
    x = 159,241,804.19/13,893.76
  6. Step 6: Final answer
    x = 11,461.39

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1.5x scale

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.