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Finding the Fourth Proportional to 3,123.97, 4,307.78 and 1,942.99

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Solution

The fourth proportional to 3,123.97, 4,307.78 and 1,942.99 is: 2,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.97 : 4,307.78 = 1,942.99 : x
  2. Step 2: Convert to fraction form
    3,123.97/4,307.78 = 1,942.99/x
  3. Step 3: Cross multiply
    3,123.97x = 4,307.78 × 1,942.99
  4. Step 4: Simplify right side
    3,123.97x = 8,369,967.55
  5. Step 5: Solve for x
    x = 8,369,967.55/3,123.97
  6. Step 6: Final answer
    x = 2,679.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.