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Finding the Fourth Proportional to 26,378, 36,401.64 and 14,602

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Solution

The fourth proportional to 26,378, 36,401.64 and 14,602 is: 20,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,378 : 36,401.64 = 14,602 : x
  2. Step 2: Convert to fraction form
    26,378/36,401.64 = 14,602/x
  3. Step 3: Cross multiply
    26,378x = 36,401.64 × 14,602
  4. Step 4: Simplify right side
    26,378x = 531,536,747.28
  5. Step 5: Solve for x
    x = 531,536,747.28/26,378
  6. Step 6: Final answer
    x = 20,150.76

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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.