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Finding the Fourth Proportional to 10,160.84, 14,022.19 and 5,685.09

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Solution

The fourth proportional to 10,160.84, 14,022.19 and 5,685.09 is: 7,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.84 : 14,022.19 = 5,685.09 : x
  2. Step 2: Convert to fraction form
    10,160.84/14,022.19 = 5,685.09/x
  3. Step 3: Cross multiply
    10,160.84x = 14,022.19 × 5,685.09
  4. Step 4: Simplify right side
    10,160.84x = 79,717,412.15
  5. Step 5: Solve for x
    x = 79,717,412.15/10,160.84
  6. Step 6: Final answer
    x = 7,845.55

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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.