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Finding the Fourth Proportional to 4,483.85, 6,724.85 and 1,709.90

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Solution

The fourth proportional to 4,483.85, 6,724.85 and 1,709.90 is: 2,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.85 : 6,724.85 = 1,709.90 : x
  2. Step 2: Convert to fraction form
    4,483.85/6,724.85 = 1,709.90/x
  3. Step 3: Cross multiply
    4,483.85x = 6,724.85 × 1,709.90
  4. Step 4: Simplify right side
    4,483.85x = 11,498,778.84
  5. Step 5: Solve for x
    x = 11,498,778.84/4,483.85
  6. Step 6: Final answer
    x = 2,564.49

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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.