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Finding the Fourth Proportional to 5,899.50, 8,142.39 and 3,415.50

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Solution

The fourth proportional to 5,899.50, 8,142.39 and 3,415.50 is: 4,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.50 : 8,142.39 = 3,415.50 : x
  2. Step 2: Convert to fraction form
    5,899.50/8,142.39 = 3,415.50/x
  3. Step 3: Cross multiply
    5,899.50x = 8,142.39 × 3,415.50
  4. Step 4: Simplify right side
    5,899.50x = 27,810,333.05
  5. Step 5: Solve for x
    x = 27,810,333.05/5,899.50
  6. Step 6: Final answer
    x = 4,714.02

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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.