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Finding the Fourth Proportional to 20,530.40, 30,752.40 and 17,074.40

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Solution

The fourth proportional to 20,530.40, 30,752.40 and 17,074.40 is: 25,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.40 : 30,752.40 = 17,074.40 : x
  2. Step 2: Convert to fraction form
    20,530.40/30,752.40 = 17,074.40/x
  3. Step 3: Cross multiply
    20,530.40x = 30,752.40 × 17,074.40
  4. Step 4: Simplify right side
    20,530.40x = 525,078,778.56
  5. Step 5: Solve for x
    x = 525,078,778.56/20,530.40
  6. Step 6: Final answer
    x = 25,575.67

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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.