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Finding the Fourth Proportional to 14,002.34, 20,971.14 and 8,443.46

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Solution

The fourth proportional to 14,002.34, 20,971.14 and 8,443.46 is: 12,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.34 : 20,971.14 = 8,443.46 : x
  2. Step 2: Convert to fraction form
    14,002.34/20,971.14 = 8,443.46/x
  3. Step 3: Cross multiply
    14,002.34x = 20,971.14 × 8,443.46
  4. Step 4: Simplify right side
    14,002.34x = 177,068,981.74
  5. Step 5: Solve for x
    x = 177,068,981.74/14,002.34
  6. Step 6: Final answer
    x = 12,645.67

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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.