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Finding the Fourth Proportional to 3,897.34, 5,809.92 and 3,837.40

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Solution

The fourth proportional to 3,897.34, 5,809.92 and 3,837.40 is: 5,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.34 : 5,809.92 = 3,837.40 : x
  2. Step 2: Convert to fraction form
    3,897.34/5,809.92 = 3,837.40/x
  3. Step 3: Cross multiply
    3,897.34x = 5,809.92 × 3,837.40
  4. Step 4: Simplify right side
    3,897.34x = 22,294,987.01
  5. Step 5: Solve for x
    x = 22,294,987.01/3,897.34
  6. Step 6: Final answer
    x = 5,720.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.