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Finding the Fourth Proportional to 10,007.72, 14,982.41 and 9,628.64

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Solution

The fourth proportional to 10,007.72, 14,982.41 and 9,628.64 is: 14,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.72 : 14,982.41 = 9,628.64 : x
  2. Step 2: Convert to fraction form
    10,007.72/14,982.41 = 9,628.64/x
  3. Step 3: Cross multiply
    10,007.72x = 14,982.41 × 9,628.64
  4. Step 4: Simplify right side
    10,007.72x = 144,260,109.17
  5. Step 5: Solve for x
    x = 144,260,109.17/10,007.72
  6. Step 6: Final answer
    x = 14,414.89

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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.