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Finding the Fourth Proportional to 13,199.48, 19,778.16 and 9,673.15

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Solution

The fourth proportional to 13,199.48, 19,778.16 and 9,673.15 is: 14,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.48 : 19,778.16 = 9,673.15 : x
  2. Step 2: Convert to fraction form
    13,199.48/19,778.16 = 9,673.15/x
  3. Step 3: Cross multiply
    13,199.48x = 19,778.16 × 9,673.15
  4. Step 4: Simplify right side
    13,199.48x = 191,317,108.40
  5. Step 5: Solve for x
    x = 191,317,108.40/13,199.48
  6. Step 6: Final answer
    x = 14,494.29

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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.