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Finding the Fourth Proportional to 12,811.56, 17,681.13 and 7,777.08

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Solution

The fourth proportional to 12,811.56, 17,681.13 and 7,777.08 is: 10,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.56 : 17,681.13 = 7,777.08 : x
  2. Step 2: Convert to fraction form
    12,811.56/17,681.13 = 7,777.08/x
  3. Step 3: Cross multiply
    12,811.56x = 17,681.13 × 7,777.08
  4. Step 4: Simplify right side
    12,811.56x = 137,507,562.50
  5. Step 5: Solve for x
    x = 137,507,562.50/12,811.56
  6. Step 6: Final answer
    x = 10,733.09

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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.