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Finding the Fourth Proportional to 14,177, 19,564.26 and 7,889.78

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Solution

The fourth proportional to 14,177, 19,564.26 and 7,889.78 is: 10,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177 : 19,564.26 = 7,889.78 : x
  2. Step 2: Convert to fraction form
    14,177/19,564.26 = 7,889.78/x
  3. Step 3: Cross multiply
    14,177x = 19,564.26 × 7,889.78
  4. Step 4: Simplify right side
    14,177x = 154,357,707.26
  5. Step 5: Solve for x
    x = 154,357,707.26/14,177
  6. Step 6: Final answer
    x = 10,887.90

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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.