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Finding the Fourth Proportional to 13,823.60, 19,066.84 and 8,516.72

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Solution

The fourth proportional to 13,823.60, 19,066.84 and 8,516.72 is: 11,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.60 : 19,066.84 = 8,516.72 : x
  2. Step 2: Convert to fraction form
    13,823.60/19,066.84 = 8,516.72/x
  3. Step 3: Cross multiply
    13,823.60x = 19,066.84 × 8,516.72
  4. Step 4: Simplify right side
    13,823.60x = 162,386,937.56
  5. Step 5: Solve for x
    x = 162,386,937.56/13,823.60
  6. Step 6: Final answer
    x = 11,747.08

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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.