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Finding the Fourth Proportional to 1,820, 2,730 and 1,771.36

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Solution

The fourth proportional to 1,820, 2,730 and 1,771.36 is: 2,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820 : 2,730 = 1,771.36 : x
  2. Step 2: Convert to fraction form
    1,820/2,730 = 1,771.36/x
  3. Step 3: Cross multiply
    1,820x = 2,730 × 1,771.36
  4. Step 4: Simplify right side
    1,820x = 4,835,812.80
  5. Step 5: Solve for x
    x = 4,835,812.80/1,820
  6. Step 6: Final answer
    x = 2,657.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.