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Finding the Fourth Proportional to 10,679.14, 16,014.02 and 5,680.43

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Solution

The fourth proportional to 10,679.14, 16,014.02 and 5,680.43 is: 8,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.14 : 16,014.02 = 5,680.43 : x
  2. Step 2: Convert to fraction form
    10,679.14/16,014.02 = 5,680.43/x
  3. Step 3: Cross multiply
    10,679.14x = 16,014.02 × 5,680.43
  4. Step 4: Simplify right side
    10,679.14x = 90,966,411.16
  5. Step 5: Solve for x
    x = 90,966,411.16/10,679.14
  6. Step 6: Final answer
    x = 8,518.14

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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.