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Finding the Fourth Proportional to 5,640.16, 8,460.81 and 1,941.90

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Solution

The fourth proportional to 5,640.16, 8,460.81 and 1,941.90 is: 2,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.16 : 8,460.81 = 1,941.90 : x
  2. Step 2: Convert to fraction form
    5,640.16/8,460.81 = 1,941.90/x
  3. Step 3: Cross multiply
    5,640.16x = 8,460.81 × 1,941.90
  4. Step 4: Simplify right side
    5,640.16x = 16,430,046.94
  5. Step 5: Solve for x
    x = 16,430,046.94/5,640.16
  6. Step 6: Final answer
    x = 2,913.05

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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.