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Finding the Fourth Proportional to 5,509.74, 8,261.86 and 1,999.60

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Solution

The fourth proportional to 5,509.74, 8,261.86 and 1,999.60 is: 2,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.74 : 8,261.86 = 1,999.60 : x
  2. Step 2: Convert to fraction form
    5,509.74/8,261.86 = 1,999.60/x
  3. Step 3: Cross multiply
    5,509.74x = 8,261.86 × 1,999.60
  4. Step 4: Simplify right side
    5,509.74x = 16,520,415.26
  5. Step 5: Solve for x
    x = 16,520,415.26/5,509.74
  6. Step 6: Final answer
    x = 2,998.40

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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.