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Finding the Fourth Proportional to 13,978.10, 20,966.48 and 5,212.34

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Solution

The fourth proportional to 13,978.10, 20,966.48 and 5,212.34 is: 7,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.10 : 20,966.48 = 5,212.34 : x
  2. Step 2: Convert to fraction form
    13,978.10/20,966.48 = 5,212.34/x
  3. Step 3: Cross multiply
    13,978.10x = 20,966.48 × 5,212.34
  4. Step 4: Simplify right side
    13,978.10x = 109,284,291.47
  5. Step 5: Solve for x
    x = 109,284,291.47/13,978.10
  6. Step 6: Final answer
    x = 7,818.25

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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.