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Finding the Fourth Proportional to 6,431.81, 9,650.95 and 2,538.95

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Solution

The fourth proportional to 6,431.81, 9,650.95 and 2,538.95 is: 3,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.81 : 9,650.95 = 2,538.95 : x
  2. Step 2: Convert to fraction form
    6,431.81/9,650.95 = 2,538.95/x
  3. Step 3: Cross multiply
    6,431.81x = 9,650.95 × 2,538.95
  4. Step 4: Simplify right side
    6,431.81x = 24,503,224.90
  5. Step 5: Solve for x
    x = 24,503,224.90/6,431.81
  6. Step 6: Final answer
    x = 3,809.70

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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.