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Finding the Fourth Proportional to 11,777.68, 17,664.48 and 3,457.56

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Solution

The fourth proportional to 11,777.68, 17,664.48 and 3,457.56 is: 5,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.68 : 17,664.48 = 3,457.56 : x
  2. Step 2: Convert to fraction form
    11,777.68/17,664.48 = 3,457.56/x
  3. Step 3: Cross multiply
    11,777.68x = 17,664.48 × 3,457.56
  4. Step 4: Simplify right side
    11,777.68x = 61,075,999.47
  5. Step 5: Solve for x
    x = 61,075,999.47/11,777.68
  6. Step 6: Final answer
    x = 5,185.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.