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Finding the Fourth Proportional to 38,458, 57,689.16 and 10,758.16

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Solution

The fourth proportional to 38,458, 57,689.16 and 10,758.16 is: 16,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458 : 57,689.16 = 10,758.16 : x
  2. Step 2: Convert to fraction form
    38,458/57,689.16 = 10,758.16/x
  3. Step 3: Cross multiply
    38,458x = 57,689.16 × 10,758.16
  4. Step 4: Simplify right side
    38,458x = 620,629,213.55
  5. Step 5: Solve for x
    x = 620,629,213.55/38,458
  6. Step 6: Final answer
    x = 16,137.84

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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.