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Finding the Fourth Proportional to 13,642.90, 18,827 and 7,674.57

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Solution

The fourth proportional to 13,642.90, 18,827 and 7,674.57 is: 10,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.90 : 18,827 = 7,674.57 : x
  2. Step 2: Convert to fraction form
    13,642.90/18,827 = 7,674.57/x
  3. Step 3: Cross multiply
    13,642.90x = 18,827 × 7,674.57
  4. Step 4: Simplify right side
    13,642.90x = 144,489,129.39
  5. Step 5: Solve for x
    x = 144,489,129.39/13,642.90
  6. Step 6: Final answer
    x = 10,590.79

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