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Finding the Fourth Proportional to 12,582.85, 17,363.96 and 7,205.11

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Solution

The fourth proportional to 12,582.85, 17,363.96 and 7,205.11 is: 9,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.85 : 17,363.96 = 7,205.11 : x
  2. Step 2: Convert to fraction form
    12,582.85/17,363.96 = 7,205.11/x
  3. Step 3: Cross multiply
    12,582.85x = 17,363.96 × 7,205.11
  4. Step 4: Simplify right side
    12,582.85x = 125,109,241.84
  5. Step 5: Solve for x
    x = 125,109,241.84/12,582.85
  6. Step 6: Final answer
    x = 9,942.84

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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.