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Finding the Fourth Proportional to 6,415.20, 8,845.20 and 4,431.24

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Solution

The fourth proportional to 6,415.20, 8,845.20 and 4,431.24 is: 6,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.20 : 8,845.20 = 4,431.24 : x
  2. Step 2: Convert to fraction form
    6,415.20/8,845.20 = 4,431.24/x
  3. Step 3: Cross multiply
    6,415.20x = 8,845.20 × 4,431.24
  4. Step 4: Simplify right side
    6,415.20x = 39,195,204.05
  5. Step 5: Solve for x
    x = 39,195,204.05/6,415.20
  6. Step 6: Final answer
    x = 6,109.74

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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.