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Finding the Fourth Proportional to 3,897.78, 5,842.35 and 1,945.68

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Solution

The fourth proportional to 3,897.78, 5,842.35 and 1,945.68 is: 2,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.78 : 5,842.35 = 1,945.68 : x
  2. Step 2: Convert to fraction form
    3,897.78/5,842.35 = 1,945.68/x
  3. Step 3: Cross multiply
    3,897.78x = 5,842.35 × 1,945.68
  4. Step 4: Simplify right side
    3,897.78x = 11,367,343.55
  5. Step 5: Solve for x
    x = 11,367,343.55/3,897.78
  6. Step 6: Final answer
    x = 2,916.36

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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.