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Finding the Fourth Proportional to 10,398.39, 14,350.05 and 5,682.96

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Solution

The fourth proportional to 10,398.39, 14,350.05 and 5,682.96 is: 7,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.39 : 14,350.05 = 5,682.96 : x
  2. Step 2: Convert to fraction form
    10,398.39/14,350.05 = 5,682.96/x
  3. Step 3: Cross multiply
    10,398.39x = 14,350.05 × 5,682.96
  4. Step 4: Simplify right side
    10,398.39x = 81,550,760.15
  5. Step 5: Solve for x
    x = 81,550,760.15/10,398.39
  6. Step 6: Final answer
    x = 7,842.63

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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.