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Finding the Fourth Proportional to 3,852.78, 5,775.54 and 1,877.16

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Solution

The fourth proportional to 3,852.78, 5,775.54 and 1,877.16 is: 2,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.78 : 5,775.54 = 1,877.16 : x
  2. Step 2: Convert to fraction form
    3,852.78/5,775.54 = 1,877.16/x
  3. Step 3: Cross multiply
    3,852.78x = 5,775.54 × 1,877.16
  4. Step 4: Simplify right side
    3,852.78x = 10,841,612.67
  5. Step 5: Solve for x
    x = 10,841,612.67/3,852.78
  6. Step 6: Final answer
    x = 2,813.97

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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.