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Finding the Fourth Proportional to 10,007.69, 13,811.00 and 6,644.70

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Solution

The fourth proportional to 10,007.69, 13,811.00 and 6,644.70 is: 9,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.69 : 13,811.00 = 6,644.70 : x
  2. Step 2: Convert to fraction form
    10,007.69/13,811.00 = 6,644.70/x
  3. Step 3: Cross multiply
    10,007.69x = 13,811.00 × 6,644.70
  4. Step 4: Simplify right side
    10,007.69x = 91,769,918.48
  5. Step 5: Solve for x
    x = 91,769,918.48/10,007.69
  6. Step 6: Final answer
    x = 9,169.94

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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.