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Finding the Fourth Proportional to 13,652.10, 20,478.73 and 4,768.32

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Solution

The fourth proportional to 13,652.10, 20,478.73 and 4,768.32 is: 7,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.10 : 20,478.73 = 4,768.32 : x
  2. Step 2: Convert to fraction form
    13,652.10/20,478.73 = 4,768.32/x
  3. Step 3: Cross multiply
    13,652.10x = 20,478.73 × 4,768.32
  4. Step 4: Simplify right side
    13,652.10x = 97,649,137.83
  5. Step 5: Solve for x
    x = 97,649,137.83/13,652.10
  6. Step 6: Final answer
    x = 7,152.68

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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.