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Finding the Fourth Proportional to 10,690.19, 16,034.77 and 7,181.67

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Solution

The fourth proportional to 10,690.19, 16,034.77 and 7,181.67 is: 10,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.19 : 16,034.77 = 7,181.67 : x
  2. Step 2: Convert to fraction form
    10,690.19/16,034.77 = 7,181.67/x
  3. Step 3: Cross multiply
    10,690.19x = 16,034.77 × 7,181.67
  4. Step 4: Simplify right side
    10,690.19x = 115,156,390.76
  5. Step 5: Solve for x
    x = 115,156,390.76/10,690.19
  6. Step 6: Final answer
    x = 10,772.16

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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.