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Finding the Fourth Proportional to 13,857.57, 19,123.97 and 7,569.99

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Solution

The fourth proportional to 13,857.57, 19,123.97 and 7,569.99 is: 10,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.57 : 19,123.97 = 7,569.99 : x
  2. Step 2: Convert to fraction form
    13,857.57/19,123.97 = 7,569.99/x
  3. Step 3: Cross multiply
    13,857.57x = 19,123.97 × 7,569.99
  4. Step 4: Simplify right side
    13,857.57x = 144,768,223.81
  5. Step 5: Solve for x
    x = 144,768,223.81/13,857.57
  6. Step 6: Final answer
    x = 10,446.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.