Home / 1,830.30-2,743.64-1,170.14

Finding the Fourth Proportional to 1,830.30, 2,743.64 and 1,170.14

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Solution

The fourth proportional to 1,830.30, 2,743.64 and 1,170.14 is: 1,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.30 : 2,743.64 = 1,170.14 : x
  2. Step 2: Convert to fraction form
    1,830.30/2,743.64 = 1,170.14/x
  3. Step 3: Cross multiply
    1,830.30x = 2,743.64 × 1,170.14
  4. Step 4: Simplify right side
    1,830.30x = 3,210,442.91
  5. Step 5: Solve for x
    x = 3,210,442.91/1,830.30
  6. Step 6: Final answer
    x = 1,754.05

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Why These Related Problems?

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