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Finding the Fourth Proportional to 13,586.43, 20,385.12 and 4,827.50

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Solution

The fourth proportional to 13,586.43, 20,385.12 and 4,827.50 is: 7,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.43 : 20,385.12 = 4,827.50 : x
  2. Step 2: Convert to fraction form
    13,586.43/20,385.12 = 4,827.50/x
  3. Step 3: Cross multiply
    13,586.43x = 20,385.12 × 4,827.50
  4. Step 4: Simplify right side
    13,586.43x = 98,409,132.27
  5. Step 5: Solve for x
    x = 98,409,132.27/13,586.43
  6. Step 6: Final answer
    x = 7,243.19

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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.