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Finding the Fourth Proportional to 13,735.34, 18,954.77 and 7,447.71

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Solution

The fourth proportional to 13,735.34, 18,954.77 and 7,447.71 is: 10,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.34 : 18,954.77 = 7,447.71 : x
  2. Step 2: Convert to fraction form
    13,735.34/18,954.77 = 7,447.71/x
  3. Step 3: Cross multiply
    13,735.34x = 18,954.77 × 7,447.71
  4. Step 4: Simplify right side
    13,735.34x = 141,169,662.97
  5. Step 5: Solve for x
    x = 141,169,662.97/13,735.34
  6. Step 6: Final answer
    x = 10,277.85

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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.