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Finding the Fourth Proportional to 1,938.76, 2,906.53 and 1,830.08

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Solution

The fourth proportional to 1,938.76, 2,906.53 and 1,830.08 is: 2,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.76 : 2,906.53 = 1,830.08 : x
  2. Step 2: Convert to fraction form
    1,938.76/2,906.53 = 1,830.08/x
  3. Step 3: Cross multiply
    1,938.76x = 2,906.53 × 1,830.08
  4. Step 4: Simplify right side
    1,938.76x = 5,319,182.42
  5. Step 5: Solve for x
    x = 5,319,182.42/1,938.76
  6. Step 6: Final answer
    x = 2,743.60

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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.