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Finding the Fourth Proportional to 6,871.43, 10,307.71 and 1,941.11

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Solution

The fourth proportional to 6,871.43, 10,307.71 and 1,941.11 is: 2,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.43 : 10,307.71 = 1,941.11 : x
  2. Step 2: Convert to fraction form
    6,871.43/10,307.71 = 1,941.11/x
  3. Step 3: Cross multiply
    6,871.43x = 10,307.71 × 1,941.11
  4. Step 4: Simplify right side
    6,871.43x = 20,008,419.87
  5. Step 5: Solve for x
    x = 20,008,419.87/6,871.43
  6. Step 6: Final answer
    x = 2,911.83

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1.5x scale

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.