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Finding the Fourth Proportional to 4,627.86, 6,930.86 and 3,647.36

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Solution

The fourth proportional to 4,627.86, 6,930.86 and 3,647.36 is: 5,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.86 : 6,930.86 = 3,647.36 : x
  2. Step 2: Convert to fraction form
    4,627.86/6,930.86 = 3,647.36/x
  3. Step 3: Cross multiply
    4,627.86x = 6,930.86 × 3,647.36
  4. Step 4: Simplify right side
    4,627.86x = 25,279,288.64
  5. Step 5: Solve for x
    x = 25,279,288.64/4,627.86
  6. Step 6: Final answer
    x = 5,462.41

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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.