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Finding the Fourth Proportional to 6,415.91, 9,627.19 and 4,855.45

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Solution

The fourth proportional to 6,415.91, 9,627.19 and 4,855.45 is: 7,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.91 : 9,627.19 = 4,855.45 : x
  2. Step 2: Convert to fraction form
    6,415.91/9,627.19 = 4,855.45/x
  3. Step 3: Cross multiply
    6,415.91x = 9,627.19 × 4,855.45
  4. Step 4: Simplify right side
    6,415.91x = 46,744,339.69
  5. Step 5: Solve for x
    x = 46,744,339.69/6,415.91
  6. Step 6: Final answer
    x = 7,285.69

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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.