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Finding the Fourth Proportional to 5,640.40, 7,786.88 and 3,402.84

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Solution

The fourth proportional to 5,640.40, 7,786.88 and 3,402.84 is: 4,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.40 : 7,786.88 = 3,402.84 : x
  2. Step 2: Convert to fraction form
    5,640.40/7,786.88 = 3,402.84/x
  3. Step 3: Cross multiply
    5,640.40x = 7,786.88 × 3,402.84
  4. Step 4: Simplify right side
    5,640.40x = 26,497,506.74
  5. Step 5: Solve for x
    x = 26,497,506.74/5,640.40
  6. Step 6: Final answer
    x = 4,697.81

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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.