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Finding the Fourth Proportional to 5,470.64, 8,206.09 and 1,960.89

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Solution

The fourth proportional to 5,470.64, 8,206.09 and 1,960.89 is: 2,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.64 : 8,206.09 = 1,960.89 : x
  2. Step 2: Convert to fraction form
    5,470.64/8,206.09 = 1,960.89/x
  3. Step 3: Cross multiply
    5,470.64x = 8,206.09 × 1,960.89
  4. Step 4: Simplify right side
    5,470.64x = 16,091,239.82
  5. Step 5: Solve for x
    x = 16,091,239.82/5,470.64
  6. Step 6: Final answer
    x = 2,941.38

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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.