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Finding the Fourth Proportional to 26,408, 36,444.12 and 15,230

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Solution

The fourth proportional to 26,408, 36,444.12 and 15,230 is: 21,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408 : 36,444.12 = 15,230 : x
  2. Step 2: Convert to fraction form
    26,408/36,444.12 = 15,230/x
  3. Step 3: Cross multiply
    26,408x = 36,444.12 × 15,230
  4. Step 4: Simplify right side
    26,408x = 555,043,947.60
  5. Step 5: Solve for x
    x = 555,043,947.60/26,408
  6. Step 6: Final answer
    x = 21,018.02

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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.