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Finding the Fourth Proportional to 26,465, 39,697.50 and 11,873

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Solution

The fourth proportional to 26,465, 39,697.50 and 11,873 is: 17,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465 : 39,697.50 = 11,873 : x
  2. Step 2: Convert to fraction form
    26,465/39,697.50 = 11,873/x
  3. Step 3: Cross multiply
    26,465x = 39,697.50 × 11,873
  4. Step 4: Simplify right side
    26,465x = 471,328,417.50
  5. Step 5: Solve for x
    x = 471,328,417.50/26,465
  6. Step 6: Final answer
    x = 17,809.50

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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.