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Finding the Fourth Proportional to 6,861, 10,293.48 and 3,941.40

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Solution

The fourth proportional to 6,861, 10,293.48 and 3,941.40 is: 5,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861 : 10,293.48 = 3,941.40 : x
  2. Step 2: Convert to fraction form
    6,861/10,293.48 = 3,941.40/x
  3. Step 3: Cross multiply
    6,861x = 10,293.48 × 3,941.40
  4. Step 4: Simplify right side
    6,861x = 40,570,722.07
  5. Step 5: Solve for x
    x = 40,570,722.07/6,861
  6. Step 6: Final answer
    x = 5,913.24

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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.