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Finding the Fourth Proportional to 13,291.36, 19,942.98 and 7,447.96

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Solution

The fourth proportional to 13,291.36, 19,942.98 and 7,447.96 is: 11,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.36 : 19,942.98 = 7,447.96 : x
  2. Step 2: Convert to fraction form
    13,291.36/19,942.98 = 7,447.96/x
  3. Step 3: Cross multiply
    13,291.36x = 19,942.98 × 7,447.96
  4. Step 4: Simplify right side
    13,291.36x = 148,534,517.32
  5. Step 5: Solve for x
    x = 148,534,517.32/13,291.36
  6. Step 6: Final answer
    x = 11,175.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.