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Finding the Fourth Proportional to 14,630, 20,189.64 and 9,044.24

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Solution

The fourth proportional to 14,630, 20,189.64 and 9,044.24 is: 12,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630 : 20,189.64 = 9,044.24 : x
  2. Step 2: Convert to fraction form
    14,630/20,189.64 = 9,044.24/x
  3. Step 3: Cross multiply
    14,630x = 20,189.64 × 9,044.24
  4. Step 4: Simplify right side
    14,630x = 182,599,949.67
  5. Step 5: Solve for x
    x = 182,599,949.67/14,630
  6. Step 6: Final answer
    x = 12,481.20

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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.