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Finding the Fourth Proportional to 13,710.51, 18,920.36 and 7,742.43

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Solution

The fourth proportional to 13,710.51, 18,920.36 and 7,742.43 is: 10,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.51 : 18,920.36 = 7,742.43 : x
  2. Step 2: Convert to fraction form
    13,710.51/18,920.36 = 7,742.43/x
  3. Step 3: Cross multiply
    13,710.51x = 18,920.36 × 7,742.43
  4. Step 4: Simplify right side
    13,710.51x = 146,489,562.87
  5. Step 5: Solve for x
    x = 146,489,562.87/13,710.51
  6. Step 6: Final answer
    x = 10,684.47

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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.