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Finding the Fourth Proportional to 13,648.67, 20,430.62 and 7,393.14

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Solution

The fourth proportional to 13,648.67, 20,430.62 and 7,393.14 is: 11,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.67 : 20,430.62 = 7,393.14 : x
  2. Step 2: Convert to fraction form
    13,648.67/20,430.62 = 7,393.14/x
  3. Step 3: Cross multiply
    13,648.67x = 20,430.62 × 7,393.14
  4. Step 4: Simplify right side
    13,648.67x = 151,046,396.98
  5. Step 5: Solve for x
    x = 151,046,396.98/13,648.67
  6. Step 6: Final answer
    x = 11,066.75

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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.