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Finding the Fourth Proportional to 12,523.44, 17,282.34 and 7,807.74

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Solution

The fourth proportional to 12,523.44, 17,282.34 and 7,807.74 is: 10,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.44 : 17,282.34 = 7,807.74 : x
  2. Step 2: Convert to fraction form
    12,523.44/17,282.34 = 7,807.74/x
  3. Step 3: Cross multiply
    12,523.44x = 17,282.34 × 7,807.74
  4. Step 4: Simplify right side
    12,523.44x = 134,936,017.31
  5. Step 5: Solve for x
    x = 134,936,017.31/12,523.44
  6. Step 6: Final answer
    x = 10,774.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.