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Finding the Fourth Proportional to 14,488, 20,002.46 and 9,958.48

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Solution

The fourth proportional to 14,488, 20,002.46 and 9,958.48 is: 13,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488 : 20,002.46 = 9,958.48 : x
  2. Step 2: Convert to fraction form
    14,488/20,002.46 = 9,958.48/x
  3. Step 3: Cross multiply
    14,488x = 20,002.46 × 9,958.48
  4. Step 4: Simplify right side
    14,488x = 199,194,097.86
  5. Step 5: Solve for x
    x = 199,194,097.86/14,488
  6. Step 6: Final answer
    x = 13,748.90

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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.