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Finding the Fourth Proportional to 11,457.83, 17,175.75 and 7,284.92

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Solution

The fourth proportional to 11,457.83, 17,175.75 and 7,284.92 is: 10,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.83 : 17,175.75 = 7,284.92 : x
  2. Step 2: Convert to fraction form
    11,457.83/17,175.75 = 7,284.92/x
  3. Step 3: Cross multiply
    11,457.83x = 17,175.75 × 7,284.92
  4. Step 4: Simplify right side
    11,457.83x = 125,123,878.81
  5. Step 5: Solve for x
    x = 125,123,878.81/11,457.83
  6. Step 6: Final answer
    x = 10,920.39

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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.