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Finding the Fourth Proportional to 13,857.90, 19,123.16 and 7,889.54

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Solution

The fourth proportional to 13,857.90, 19,123.16 and 7,889.54 is: 10,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.90 : 19,123.16 = 7,889.54 : x
  2. Step 2: Convert to fraction form
    13,857.90/19,123.16 = 7,889.54/x
  3. Step 3: Cross multiply
    13,857.90x = 19,123.16 × 7,889.54
  4. Step 4: Simplify right side
    13,857.90x = 150,872,935.75
  5. Step 5: Solve for x
    x = 150,872,935.75/13,857.90
  6. Step 6: Final answer
    x = 10,887.14

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1.5x scale

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.