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Finding the Fourth Proportional to 38,158, 52,653.74 and 21,390.64

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Solution

The fourth proportional to 38,158, 52,653.74 and 21,390.64 is: 29,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,158 : 52,653.74 = 21,390.64 : x
  2. Step 2: Convert to fraction form
    38,158/52,653.74 = 21,390.64/x
  3. Step 3: Cross multiply
    38,158x = 52,653.74 × 21,390.64
  4. Step 4: Simplify right side
    38,158x = 1,126,297,196.99
  5. Step 5: Solve for x
    x = 1,126,297,196.99/38,158
  6. Step 6: Final answer
    x = 29,516.67

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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.