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Finding the Fourth Proportional to 13,857, 19,123.08 and 7,569.78

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Solution

The fourth proportional to 13,857, 19,123.08 and 7,569.78 is: 10,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 19,123.08 = 7,569.78 : x
  2. Step 2: Convert to fraction form
    13,857/19,123.08 = 7,569.78/x
  3. Step 3: Cross multiply
    13,857x = 19,123.08 × 7,569.78
  4. Step 4: Simplify right side
    13,857x = 144,757,508.52
  5. Step 5: Solve for x
    x = 144,757,508.52/13,857
  6. Step 6: Final answer
    x = 10,446.53

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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.