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Finding the Fourth Proportional to 10,409.70, 14,365.49 and 5,693.88

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Solution

The fourth proportional to 10,409.70, 14,365.49 and 5,693.88 is: 7,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.70 : 14,365.49 = 5,693.88 : x
  2. Step 2: Convert to fraction form
    10,409.70/14,365.49 = 5,693.88/x
  3. Step 3: Cross multiply
    10,409.70x = 14,365.49 × 5,693.88
  4. Step 4: Simplify right side
    10,409.70x = 81,795,376.20
  5. Step 5: Solve for x
    x = 81,795,376.20/10,409.70
  6. Step 6: Final answer
    x = 7,857.61

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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.