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Finding the Fourth Proportional to 12,885.36, 17,783.44 and 7,580.66

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Solution

The fourth proportional to 12,885.36, 17,783.44 and 7,580.66 is: 10,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.36 : 17,783.44 = 7,580.66 : x
  2. Step 2: Convert to fraction form
    12,885.36/17,783.44 = 7,580.66/x
  3. Step 3: Cross multiply
    12,885.36x = 17,783.44 × 7,580.66
  4. Step 4: Simplify right side
    12,885.36x = 134,810,212.27
  5. Step 5: Solve for x
    x = 134,810,212.27/12,885.36
  6. Step 6: Final answer
    x = 10,462.28

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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.