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Finding the Fourth Proportional to 26,013, 39,029.76 and 13,525.20

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Solution

The fourth proportional to 26,013, 39,029.76 and 13,525.20 is: 20,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,013 : 39,029.76 = 13,525.20 : x
  2. Step 2: Convert to fraction form
    26,013/39,029.76 = 13,525.20/x
  3. Step 3: Cross multiply
    26,013x = 39,029.76 × 13,525.20
  4. Step 4: Simplify right side
    26,013x = 527,885,309.95
  5. Step 5: Solve for x
    x = 527,885,309.95/26,013
  6. Step 6: Final answer
    x = 20,293.13

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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.