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Finding the Fourth Proportional to 8,420.87, 11,620.89 and 4,644.19

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Solution

The fourth proportional to 8,420.87, 11,620.89 and 4,644.19 is: 6,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.87 : 11,620.89 = 4,644.19 : x
  2. Step 2: Convert to fraction form
    8,420.87/11,620.89 = 4,644.19/x
  3. Step 3: Cross multiply
    8,420.87x = 11,620.89 × 4,644.19
  4. Step 4: Simplify right side
    8,420.87x = 53,969,563.02
  5. Step 5: Solve for x
    x = 53,969,563.02/8,420.87
  6. Step 6: Final answer
    x = 6,409.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.