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Finding the Fourth Proportional to 35,897.90, 49,538.67 and 20,993.90

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Solution

The fourth proportional to 35,897.90, 49,538.67 and 20,993.90 is: 28,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.90 : 49,538.67 = 20,993.90 : x
  2. Step 2: Convert to fraction form
    35,897.90/49,538.67 = 20,993.90/x
  3. Step 3: Cross multiply
    35,897.90x = 49,538.67 × 20,993.90
  4. Step 4: Simplify right side
    35,897.90x = 1,040,009,884.11
  5. Step 5: Solve for x
    x = 1,040,009,884.11/35,897.90
  6. Step 6: Final answer
    x = 28,971.33

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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.