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Finding the Fourth Proportional to 38,507.91, 57,763.91 and 12,214.68

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Solution

The fourth proportional to 38,507.91, 57,763.91 and 12,214.68 is: 18,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.91 : 57,763.91 = 12,214.68 : x
  2. Step 2: Convert to fraction form
    38,507.91/57,763.91 = 12,214.68/x
  3. Step 3: Cross multiply
    38,507.91x = 57,763.91 × 12,214.68
  4. Step 4: Simplify right side
    38,507.91x = 705,567,676.20
  5. Step 5: Solve for x
    x = 705,567,676.20/38,507.91
  6. Step 6: Final answer
    x = 18,322.67

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1.5x scale

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.