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Finding the Fourth Proportional to 14,616.72, 20,172.92 and 9,585.14

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Solution

The fourth proportional to 14,616.72, 20,172.92 and 9,585.14 is: 13,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.72 : 20,172.92 = 9,585.14 : x
  2. Step 2: Convert to fraction form
    14,616.72/20,172.92 = 9,585.14/x
  3. Step 3: Cross multiply
    14,616.72x = 20,172.92 × 9,585.14
  4. Step 4: Simplify right side
    14,616.72x = 193,360,113.62
  5. Step 5: Solve for x
    x = 193,360,113.62/14,616.72
  6. Step 6: Final answer
    x = 13,228.69

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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.