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Finding the Fourth Proportional to 35,894.14, 53,865.84 and 12,520.57

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Solution

The fourth proportional to 35,894.14, 53,865.84 and 12,520.57 is: 18,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.14 : 53,865.84 = 12,520.57 : x
  2. Step 2: Convert to fraction form
    35,894.14/53,865.84 = 12,520.57/x
  3. Step 3: Cross multiply
    35,894.14x = 53,865.84 × 12,520.57
  4. Step 4: Simplify right side
    35,894.14x = 674,431,020.33
  5. Step 5: Solve for x
    x = 674,431,020.33/35,894.14
  6. Step 6: Final answer
    x = 18,789.45

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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.