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Finding the Fourth Proportional to 36,874.88, 50,888.64 and 20,960

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Solution

The fourth proportional to 36,874.88, 50,888.64 and 20,960 is: 28,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,874.88 : 50,888.64 = 20,960 : x
  2. Step 2: Convert to fraction form
    36,874.88/50,888.64 = 20,960/x
  3. Step 3: Cross multiply
    36,874.88x = 50,888.64 × 20,960
  4. Step 4: Simplify right side
    36,874.88x = 1,066,625,894.40
  5. Step 5: Solve for x
    x = 1,066,625,894.40/36,874.88
  6. Step 6: Final answer
    x = 28,925.54

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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.