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Finding the Fourth Proportional to 12,007.76, 17,967.78 and 7,310.64

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Solution

The fourth proportional to 12,007.76, 17,967.78 and 7,310.64 is: 10,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.76 : 17,967.78 = 7,310.64 : x
  2. Step 2: Convert to fraction form
    12,007.76/17,967.78 = 7,310.64/x
  3. Step 3: Cross multiply
    12,007.76x = 17,967.78 × 7,310.64
  4. Step 4: Simplify right side
    12,007.76x = 131,355,971.18
  5. Step 5: Solve for x
    x = 131,355,971.18/12,007.76
  6. Step 6: Final answer
    x = 10,939.26

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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.