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Finding the Fourth Proportional to 3,664.70, 5,140.30 and 3,664.70

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Solution

The fourth proportional to 3,664.70, 5,140.30 and 3,664.70 is: 5,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.70 : 5,140.30 = 3,664.70 : x
  2. Step 2: Convert to fraction form
    3,664.70/5,140.30 = 3,664.70/x
  3. Step 3: Cross multiply
    3,664.70x = 5,140.30 × 3,664.70
  4. Step 4: Simplify right side
    3,664.70x = 18,837,657.41
  5. Step 5: Solve for x
    x = 18,837,657.41/3,664.70
  6. Step 6: Final answer
    x = 5,140.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.