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Finding the Fourth Proportional to 7,162.82, 9,888.12 and 4,511.66

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Solution

The fourth proportional to 7,162.82, 9,888.12 and 4,511.66 is: 6,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.82 : 9,888.12 = 4,511.66 : x
  2. Step 2: Convert to fraction form
    7,162.82/9,888.12 = 4,511.66/x
  3. Step 3: Cross multiply
    7,162.82x = 9,888.12 × 4,511.66
  4. Step 4: Simplify right side
    7,162.82x = 44,611,835.48
  5. Step 5: Solve for x
    x = 44,611,835.48/7,162.82
  6. Step 6: Final answer
    x = 6,228.25

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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.