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Finding the Fourth Proportional to 14,467.62, 19,965.41 and 8,421.46

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Solution

The fourth proportional to 14,467.62, 19,965.41 and 8,421.46 is: 11,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.62 : 19,965.41 = 8,421.46 : x
  2. Step 2: Convert to fraction form
    14,467.62/19,965.41 = 8,421.46/x
  3. Step 3: Cross multiply
    14,467.62x = 19,965.41 × 8,421.46
  4. Step 4: Simplify right side
    14,467.62x = 168,137,901.70
  5. Step 5: Solve for x
    x = 168,137,901.70/14,467.62
  6. Step 6: Final answer
    x = 11,621.67

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1.5x scale

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.