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Finding the Fourth Proportional to 13,978.13, 20,967.18 and 9,582.26

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Solution

The fourth proportional to 13,978.13, 20,967.18 and 9,582.26 is: 14,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.13 : 20,967.18 = 9,582.26 : x
  2. Step 2: Convert to fraction form
    13,978.13/20,967.18 = 9,582.26/x
  3. Step 3: Cross multiply
    13,978.13x = 20,967.18 × 9,582.26
  4. Step 4: Simplify right side
    13,978.13x = 200,912,865.39
  5. Step 5: Solve for x
    x = 200,912,865.39/13,978.13
  6. Step 6: Final answer
    x = 14,373.38

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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.