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Finding the Fourth Proportional to 26,174, 39,268.20 and 7,706

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Solution

The fourth proportional to 26,174, 39,268.20 and 7,706 is: 11,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,174 : 39,268.20 = 7,706 : x
  2. Step 2: Convert to fraction form
    26,174/39,268.20 = 7,706/x
  3. Step 3: Cross multiply
    26,174x = 39,268.20 × 7,706
  4. Step 4: Simplify right side
    26,174x = 302,600,749.20
  5. Step 5: Solve for x
    x = 302,600,749.20/26,174
  6. Step 6: Final answer
    x = 11,561.12

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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.