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Finding the Fourth Proportional to 13,930, 19,223.44 and 7,642.64

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Solution

The fourth proportional to 13,930, 19,223.44 and 7,642.64 is: 10,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930 : 19,223.44 = 7,642.64 : x
  2. Step 2: Convert to fraction form
    13,930/19,223.44 = 7,642.64/x
  3. Step 3: Cross multiply
    13,930x = 19,223.44 × 7,642.64
  4. Step 4: Simplify right side
    13,930x = 146,917,831.48
  5. Step 5: Solve for x
    x = 146,917,831.48/13,930
  6. Step 6: Final answer
    x = 10,546.87

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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.