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Finding the Fourth Proportional to 1,830.80, 2,511.22 and 1,830.80

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Solution

The fourth proportional to 1,830.80, 2,511.22 and 1,830.80 is: 2,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.80 : 2,511.22 = 1,830.80 : x
  2. Step 2: Convert to fraction form
    1,830.80/2,511.22 = 1,830.80/x
  3. Step 3: Cross multiply
    1,830.80x = 2,511.22 × 1,830.80
  4. Step 4: Simplify right side
    1,830.80x = 4,597,541.58
  5. Step 5: Solve for x
    x = 4,597,541.58/1,830.80
  6. Step 6: Final answer
    x = 2,511.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.