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Finding the Fourth Proportional to 39,577, 54,616.26 and 21,913

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Solution

The fourth proportional to 39,577, 54,616.26 and 21,913 is: 30,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,577 : 54,616.26 = 21,913 : x
  2. Step 2: Convert to fraction form
    39,577/54,616.26 = 21,913/x
  3. Step 3: Cross multiply
    39,577x = 54,616.26 × 21,913
  4. Step 4: Simplify right side
    39,577x = 1,196,806,105.38
  5. Step 5: Solve for x
    x = 1,196,806,105.38/39,577
  6. Step 6: Final answer
    x = 30,239.94

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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.