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Finding the Fourth Proportional to 3,321.83, 4,980.31 and 1,591.67

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Solution

The fourth proportional to 3,321.83, 4,980.31 and 1,591.67 is: 2,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.83 : 4,980.31 = 1,591.67 : x
  2. Step 2: Convert to fraction form
    3,321.83/4,980.31 = 1,591.67/x
  3. Step 3: Cross multiply
    3,321.83x = 4,980.31 × 1,591.67
  4. Step 4: Simplify right side
    3,321.83x = 7,927,002.06
  5. Step 5: Solve for x
    x = 7,927,002.06/3,321.83
  6. Step 6: Final answer
    x = 2,386.34

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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.