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Finding the Fourth Proportional to 13,902, 20,853.14 and 3,513.76

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Solution

The fourth proportional to 13,902, 20,853.14 and 3,513.76 is: 5,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902 : 20,853.14 = 3,513.76 : x
  2. Step 2: Convert to fraction form
    13,902/20,853.14 = 3,513.76/x
  3. Step 3: Cross multiply
    13,902x = 20,853.14 × 3,513.76
  4. Step 4: Simplify right side
    13,902x = 73,272,929.21
  5. Step 5: Solve for x
    x = 73,272,929.21/13,902
  6. Step 6: Final answer
    x = 5,270.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.