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Finding the Fourth Proportional to 1,830.55, 2,743.80 and 906.34

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Solution

The fourth proportional to 1,830.55, 2,743.80 and 906.34 is: 1,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.55 : 2,743.80 = 906.34 : x
  2. Step 2: Convert to fraction form
    1,830.55/2,743.80 = 906.34/x
  3. Step 3: Cross multiply
    1,830.55x = 2,743.80 × 906.34
  4. Step 4: Simplify right side
    1,830.55x = 2,486,815.69
  5. Step 5: Solve for x
    x = 2,486,815.69/1,830.55
  6. Step 6: Final answer
    x = 1,358.51

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1.5x scale

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.