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Finding the Fourth Proportional to 13,978.21, 20,967.45 and 4,117.67

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Solution

The fourth proportional to 13,978.21, 20,967.45 and 4,117.67 is: 6,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.21 : 20,967.45 = 4,117.67 : x
  2. Step 2: Convert to fraction form
    13,978.21/20,967.45 = 4,117.67/x
  3. Step 3: Cross multiply
    13,978.21x = 20,967.45 × 4,117.67
  4. Step 4: Simplify right side
    13,978.21x = 86,337,039.84
  5. Step 5: Solve for x
    x = 86,337,039.84/13,978.21
  6. Step 6: Final answer
    x = 6,176.54

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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.