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Finding the Fourth Proportional to 2,641.44, 3,955.86 and 1,584.30

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Solution

The fourth proportional to 2,641.44, 3,955.86 and 1,584.30 is: 2,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.44 : 3,955.86 = 1,584.30 : x
  2. Step 2: Convert to fraction form
    2,641.44/3,955.86 = 1,584.30/x
  3. Step 3: Cross multiply
    2,641.44x = 3,955.86 × 1,584.30
  4. Step 4: Simplify right side
    2,641.44x = 6,267,269.00
  5. Step 5: Solve for x
    x = 6,267,269.00/2,641.44
  6. Step 6: Final answer
    x = 2,372.67

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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.