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Finding the Fourth Proportional to 3,897.66, 5,378.78 and 2,129.30

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Solution

The fourth proportional to 3,897.66, 5,378.78 and 2,129.30 is: 2,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.66 : 5,378.78 = 2,129.30 : x
  2. Step 2: Convert to fraction form
    3,897.66/5,378.78 = 2,129.30/x
  3. Step 3: Cross multiply
    3,897.66x = 5,378.78 × 2,129.30
  4. Step 4: Simplify right side
    3,897.66x = 11,453,036.25
  5. Step 5: Solve for x
    x = 11,453,036.25/3,897.66
  6. Step 6: Final answer
    x = 2,938.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.