Home / 1,905.40-2,851.12-1,125.78

Finding the Fourth Proportional to 1,905.40, 2,851.12 and 1,125.78

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Solution

The fourth proportional to 1,905.40, 2,851.12 and 1,125.78 is: 1,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.40 : 2,851.12 = 1,125.78 : x
  2. Step 2: Convert to fraction form
    1,905.40/2,851.12 = 1,125.78/x
  3. Step 3: Cross multiply
    1,905.40x = 2,851.12 × 1,125.78
  4. Step 4: Simplify right side
    1,905.40x = 3,209,733.87
  5. Step 5: Solve for x
    x = 3,209,733.87/1,905.40
  6. Step 6: Final answer
    x = 1,684.55

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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.