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Finding the Fourth Proportional to 13,647.76, 20,471.90 and 4,287.60

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Solution

The fourth proportional to 13,647.76, 20,471.90 and 4,287.60 is: 6,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.76 : 20,471.90 = 4,287.60 : x
  2. Step 2: Convert to fraction form
    13,647.76/20,471.90 = 4,287.60/x
  3. Step 3: Cross multiply
    13,647.76x = 20,471.90 × 4,287.60
  4. Step 4: Simplify right side
    13,647.76x = 87,775,373.77
  5. Step 5: Solve for x
    x = 87,775,373.77/13,647.76
  6. Step 6: Final answer
    x = 6,431.49

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1.5x scale

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.