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Finding the Fourth Proportional to 1,903.78, 2,852.91 and 928.78

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Solution

The fourth proportional to 1,903.78, 2,852.91 and 928.78 is: 1,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.78 : 2,852.91 = 928.78 : x
  2. Step 2: Convert to fraction form
    1,903.78/2,852.91 = 928.78/x
  3. Step 3: Cross multiply
    1,903.78x = 2,852.91 × 928.78
  4. Step 4: Simplify right side
    1,903.78x = 2,649,725.75
  5. Step 5: Solve for x
    x = 2,649,725.75/1,903.78
  6. Step 6: Final answer
    x = 1,391.82

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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.