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Finding the Fourth Proportional to 13,978.29, 20,967.40 and 4,117.56

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Solution

The fourth proportional to 13,978.29, 20,967.40 and 4,117.56 is: 6,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.29 : 20,967.40 = 4,117.56 : x
  2. Step 2: Convert to fraction form
    13,978.29/20,967.40 = 4,117.56/x
  3. Step 3: Cross multiply
    13,978.29x = 20,967.40 × 4,117.56
  4. Step 4: Simplify right side
    13,978.29x = 86,334,527.54
  5. Step 5: Solve for x
    x = 86,334,527.54/13,978.29
  6. Step 6: Final answer
    x = 6,176.33

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1.5x scale

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.