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Finding the Fourth Proportional to 1,830.60, 2,729.70 and 1,757.70

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Solution

The fourth proportional to 1,830.60, 2,729.70 and 1,757.70 is: 2,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.60 : 2,729.70 = 1,757.70 : x
  2. Step 2: Convert to fraction form
    1,830.60/2,729.70 = 1,757.70/x
  3. Step 3: Cross multiply
    1,830.60x = 2,729.70 × 1,757.70
  4. Step 4: Simplify right side
    1,830.60x = 4,797,993.69
  5. Step 5: Solve for x
    x = 4,797,993.69/1,830.60
  6. Step 6: Final answer
    x = 2,621.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.