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Finding the Fourth Proportional to 13,502, 18,634.56 and 7,913

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Solution

The fourth proportional to 13,502, 18,634.56 and 7,913 is: 10,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502 : 18,634.56 = 7,913 : x
  2. Step 2: Convert to fraction form
    13,502/18,634.56 = 7,913/x
  3. Step 3: Cross multiply
    13,502x = 18,634.56 × 7,913
  4. Step 4: Simplify right side
    13,502x = 147,455,273.28
  5. Step 5: Solve for x
    x = 147,455,273.28/13,502
  6. Step 6: Final answer
    x = 10,920.99

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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.