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Finding the Fourth Proportional to 38,378, 52,961.64 and 22,461.68

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Solution

The fourth proportional to 38,378, 52,961.64 and 22,461.68 is: 30,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378 : 52,961.64 = 22,461.68 : x
  2. Step 2: Convert to fraction form
    38,378/52,961.64 = 22,461.68/x
  3. Step 3: Cross multiply
    38,378x = 52,961.64 × 22,461.68
  4. Step 4: Simplify right side
    38,378x = 1,189,607,409.96
  5. Step 5: Solve for x
    x = 1,189,607,409.96/38,378
  6. Step 6: Final answer
    x = 30,997.12

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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.