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Finding the Fourth Proportional to 6,405.30, 9,604.71 and 1,961.64

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Solution

The fourth proportional to 6,405.30, 9,604.71 and 1,961.64 is: 2,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.30 : 9,604.71 = 1,961.64 : x
  2. Step 2: Convert to fraction form
    6,405.30/9,604.71 = 1,961.64/x
  3. Step 3: Cross multiply
    6,405.30x = 9,604.71 × 1,961.64
  4. Step 4: Simplify right side
    6,405.30x = 18,840,983.32
  5. Step 5: Solve for x
    x = 18,840,983.32/6,405.30
  6. Step 6: Final answer
    x = 2,941.47

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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.