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Finding the Fourth Proportional to 10,693.42, 14,755.64 and 5,912.72

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Solution

The fourth proportional to 10,693.42, 14,755.64 and 5,912.72 is: 8,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.42 : 14,755.64 = 5,912.72 : x
  2. Step 2: Convert to fraction form
    10,693.42/14,755.64 = 5,912.72/x
  3. Step 3: Cross multiply
    10,693.42x = 14,755.64 × 5,912.72
  4. Step 4: Simplify right side
    10,693.42x = 87,245,967.74
  5. Step 5: Solve for x
    x = 87,245,967.74/10,693.42
  6. Step 6: Final answer
    x = 8,158.85

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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.