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Finding the Fourth Proportional to 13,899.96, 19,174.80 and 9,302.16

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Solution

The fourth proportional to 13,899.96, 19,174.80 and 9,302.16 is: 12,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,899.96 : 19,174.80 = 9,302.16 : x
  2. Step 2: Convert to fraction form
    13,899.96/19,174.80 = 9,302.16/x
  3. Step 3: Cross multiply
    13,899.96x = 19,174.80 × 9,302.16
  4. Step 4: Simplify right side
    13,899.96x = 178,367,057.57
  5. Step 5: Solve for x
    x = 178,367,057.57/13,899.96
  6. Step 6: Final answer
    x = 12,832.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.