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Finding the Fourth Proportional to 5,640.84, 7,784.18 and 3,964.68

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Solution

The fourth proportional to 5,640.84, 7,784.18 and 3,964.68 is: 5,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.84 : 7,784.18 = 3,964.68 : x
  2. Step 2: Convert to fraction form
    5,640.84/7,784.18 = 3,964.68/x
  3. Step 3: Cross multiply
    5,640.84x = 7,784.18 × 3,964.68
  4. Step 4: Simplify right side
    5,640.84x = 30,861,782.76
  5. Step 5: Solve for x
    x = 30,861,782.76/5,640.84
  6. Step 6: Final answer
    x = 5,471.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.