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Finding the Fourth Proportional to 13,893.40, 19,173 and 7,605.88

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Solution

The fourth proportional to 13,893.40, 19,173 and 7,605.88 is: 10,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.40 : 19,173 = 7,605.88 : x
  2. Step 2: Convert to fraction form
    13,893.40/19,173 = 7,605.88/x
  3. Step 3: Cross multiply
    13,893.40x = 19,173 × 7,605.88
  4. Step 4: Simplify right side
    13,893.40x = 145,827,537.24
  5. Step 5: Solve for x
    x = 145,827,537.24/13,893.40
  6. Step 6: Final answer
    x = 10,496.17

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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.