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Finding the Fourth Proportional to 3,478.85, 5,218.20 and 846.37

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Solution

The fourth proportional to 3,478.85, 5,218.20 and 846.37 is: 1,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.85 : 5,218.20 = 846.37 : x
  2. Step 2: Convert to fraction form
    3,478.85/5,218.20 = 846.37/x
  3. Step 3: Cross multiply
    3,478.85x = 5,218.20 × 846.37
  4. Step 4: Simplify right side
    3,478.85x = 4,416,509.74
  5. Step 5: Solve for x
    x = 4,416,509.74/3,478.85
  6. Step 6: Final answer
    x = 1,269.53

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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.