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Finding the Fourth Proportional to 6,881.53, 10,322.69 and 1,950.78

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Solution

The fourth proportional to 6,881.53, 10,322.69 and 1,950.78 is: 2,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.53 : 10,322.69 = 1,950.78 : x
  2. Step 2: Convert to fraction form
    6,881.53/10,322.69 = 1,950.78/x
  3. Step 3: Cross multiply
    6,881.53x = 10,322.69 × 1,950.78
  4. Step 4: Simplify right side
    6,881.53x = 20,137,305.22
  5. Step 5: Solve for x
    x = 20,137,305.22/6,881.53
  6. Step 6: Final answer
    x = 2,926.28

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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.