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Finding the Fourth Proportional to 13,581.60, 20,372.40 and 4,817.40

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Solution

The fourth proportional to 13,581.60, 20,372.40 and 4,817.40 is: 7,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.60 : 20,372.40 = 4,817.40 : x
  2. Step 2: Convert to fraction form
    13,581.60/20,372.40 = 4,817.40/x
  3. Step 3: Cross multiply
    13,581.60x = 20,372.40 × 4,817.40
  4. Step 4: Simplify right side
    13,581.60x = 98,141,999.76
  5. Step 5: Solve for x
    x = 98,141,999.76/13,581.60
  6. Step 6: Final answer
    x = 7,226.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.