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Finding the Fourth Proportional to 12,776.60, 17,631.52 and 7,187.60

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Solution

The fourth proportional to 12,776.60, 17,631.52 and 7,187.60 is: 9,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.60 : 17,631.52 = 7,187.60 : x
  2. Step 2: Convert to fraction form
    12,776.60/17,631.52 = 7,187.60/x
  3. Step 3: Cross multiply
    12,776.60x = 17,631.52 × 7,187.60
  4. Step 4: Simplify right side
    12,776.60x = 126,728,313.15
  5. Step 5: Solve for x
    x = 126,728,313.15/12,776.60
  6. Step 6: Final answer
    x = 9,918.78

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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.