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Finding the Fourth Proportional to 11,852.56, 17,780.64 and 4,457.53

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Solution

The fourth proportional to 11,852.56, 17,780.64 and 4,457.53 is: 6,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.56 : 17,780.64 = 4,457.53 : x
  2. Step 2: Convert to fraction form
    11,852.56/17,780.64 = 4,457.53/x
  3. Step 3: Cross multiply
    11,852.56x = 17,780.64 × 4,457.53
  4. Step 4: Simplify right side
    11,852.56x = 79,257,736.22
  5. Step 5: Solve for x
    x = 79,257,736.22/11,852.56
  6. Step 6: Final answer
    x = 6,686.97

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