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Finding the Fourth Proportional to 12,776.40, 17,631 and 7,186.32

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Solution

The fourth proportional to 12,776.40, 17,631 and 7,186.32 is: 9,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.40 : 17,631 = 7,186.32 : x
  2. Step 2: Convert to fraction form
    12,776.40/17,631 = 7,186.32/x
  3. Step 3: Cross multiply
    12,776.40x = 17,631 × 7,186.32
  4. Step 4: Simplify right side
    12,776.40x = 126,702,007.92
  5. Step 5: Solve for x
    x = 126,702,007.92/12,776.40
  6. Step 6: Final answer
    x = 9,916.88

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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.