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Finding the Fourth Proportional to 7,640.01, 11,451.66 and 3,478.94

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Solution

The fourth proportional to 7,640.01, 11,451.66 and 3,478.94 is: 5,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.01 : 11,451.66 = 3,478.94 : x
  2. Step 2: Convert to fraction form
    7,640.01/11,451.66 = 3,478.94/x
  3. Step 3: Cross multiply
    7,640.01x = 11,451.66 × 3,478.94
  4. Step 4: Simplify right side
    7,640.01x = 39,839,638.04
  5. Step 5: Solve for x
    x = 39,839,638.04/7,640.01
  6. Step 6: Final answer
    x = 5,214.61

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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.