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Finding the Fourth Proportional to 14,560.91, 20,100.36 and 9,188.18

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Solution

The fourth proportional to 14,560.91, 20,100.36 and 9,188.18 is: 12,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.91 : 20,100.36 = 9,188.18 : x
  2. Step 2: Convert to fraction form
    14,560.91/20,100.36 = 9,188.18/x
  3. Step 3: Cross multiply
    14,560.91x = 20,100.36 × 9,188.18
  4. Step 4: Simplify right side
    14,560.91x = 184,685,725.74
  5. Step 5: Solve for x
    x = 184,685,725.74/14,560.91
  6. Step 6: Final answer
    x = 12,683.67

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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.