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Finding the Fourth Proportional to 19,600, 29,400.48 and 5,008

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Solution

The fourth proportional to 19,600, 29,400.48 and 5,008 is: 7,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600 : 29,400.48 = 5,008 : x
  2. Step 2: Convert to fraction form
    19,600/29,400.48 = 5,008/x
  3. Step 3: Cross multiply
    19,600x = 29,400.48 × 5,008
  4. Step 4: Simplify right side
    19,600x = 147,237,603.84
  5. Step 5: Solve for x
    x = 147,237,603.84/19,600
  6. Step 6: Final answer
    x = 7,512.12

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