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Finding the Fourth Proportional to 13,986, 19,300.68 and 7,698.78

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Solution

The fourth proportional to 13,986, 19,300.68 and 7,698.78 is: 10,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 19,300.68 = 7,698.78 : x
  2. Step 2: Convert to fraction form
    13,986/19,300.68 = 7,698.78/x
  3. Step 3: Cross multiply
    13,986x = 19,300.68 × 7,698.78
  4. Step 4: Simplify right side
    13,986x = 148,591,689.17
  5. Step 5: Solve for x
    x = 148,591,689.17/13,986
  6. Step 6: Final answer
    x = 10,624.32

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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.