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Finding the Fourth Proportional to 10,394.60, 14,344.46 and 5,678.92

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Solution

The fourth proportional to 10,394.60, 14,344.46 and 5,678.92 is: 7,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.60 : 14,344.46 = 5,678.92 : x
  2. Step 2: Convert to fraction form
    10,394.60/14,344.46 = 5,678.92/x
  3. Step 3: Cross multiply
    10,394.60x = 14,344.46 × 5,678.92
  4. Step 4: Simplify right side
    10,394.60x = 81,461,040.78
  5. Step 5: Solve for x
    x = 81,461,040.78/10,394.60
  6. Step 6: Final answer
    x = 7,836.86

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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.