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Finding the Fourth Proportional to 3,472.34, 4,791.78 and 1,900.40

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Solution

The fourth proportional to 3,472.34, 4,791.78 and 1,900.40 is: 2,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.34 : 4,791.78 = 1,900.40 : x
  2. Step 2: Convert to fraction form
    3,472.34/4,791.78 = 1,900.40/x
  3. Step 3: Cross multiply
    3,472.34x = 4,791.78 × 1,900.40
  4. Step 4: Simplify right side
    3,472.34x = 9,106,274.75
  5. Step 5: Solve for x
    x = 9,106,274.75/3,472.34
  6. Step 6: Final answer
    x = 2,622.52

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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.