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Finding the Fourth Proportional to 1,836.70, 2,740.09 and 1,511.08

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Solution

The fourth proportional to 1,836.70, 2,740.09 and 1,511.08 is: 2,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.70 : 2,740.09 = 1,511.08 : x
  2. Step 2: Convert to fraction form
    1,836.70/2,740.09 = 1,511.08/x
  3. Step 3: Cross multiply
    1,836.70x = 2,740.09 × 1,511.08
  4. Step 4: Simplify right side
    1,836.70x = 4,140,495.20
  5. Step 5: Solve for x
    x = 4,140,495.20/1,836.70
  6. Step 6: Final answer
    x = 2,254.31

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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.