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Finding the Fourth Proportional to 10,394.46, 14,344.26 and 5,678.76

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Solution

The fourth proportional to 10,394.46, 14,344.26 and 5,678.76 is: 7,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.46 : 14,344.26 = 5,678.76 : x
  2. Step 2: Convert to fraction form
    10,394.46/14,344.26 = 5,678.76/x
  3. Step 3: Cross multiply
    10,394.46x = 14,344.26 × 5,678.76
  4. Step 4: Simplify right side
    10,394.46x = 81,457,609.92
  5. Step 5: Solve for x
    x = 81,457,609.92/10,394.46
  6. Step 6: Final answer
    x = 7,836.64

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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.