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Finding the Fourth Proportional to 26,021, 39,031.50 and 9,605

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Solution

The fourth proportional to 26,021, 39,031.50 and 9,605 is: 14,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,021 : 39,031.50 = 9,605 : x
  2. Step 2: Convert to fraction form
    26,021/39,031.50 = 9,605/x
  3. Step 3: Cross multiply
    26,021x = 39,031.50 × 9,605
  4. Step 4: Simplify right side
    26,021x = 374,897,557.50
  5. Step 5: Solve for x
    x = 374,897,557.50/26,021
  6. Step 6: Final answer
    x = 14,407.50

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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.