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Finding the Fourth Proportional to 12,776.42, 17,631.45 and 7,187.42

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Solution

The fourth proportional to 12,776.42, 17,631.45 and 7,187.42 is: 9,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.42 : 17,631.45 = 7,187.42 : x
  2. Step 2: Convert to fraction form
    12,776.42/17,631.45 = 7,187.42/x
  3. Step 3: Cross multiply
    12,776.42x = 17,631.45 × 7,187.42
  4. Step 4: Simplify right side
    12,776.42x = 126,724,548.20
  5. Step 5: Solve for x
    x = 126,724,548.20/12,776.42
  6. Step 6: Final answer
    x = 9,918.63

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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.