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Finding the Fourth Proportional to 20,071.20, 30,009.60 and 14,822.40

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Solution

The fourth proportional to 20,071.20, 30,009.60 and 14,822.40 is: 22,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.20 : 30,009.60 = 14,822.40 : x
  2. Step 2: Convert to fraction form
    20,071.20/30,009.60 = 14,822.40/x
  3. Step 3: Cross multiply
    20,071.20x = 30,009.60 × 14,822.40
  4. Step 4: Simplify right side
    20,071.20x = 444,814,295.04
  5. Step 5: Solve for x
    x = 444,814,295.04/20,071.20
  6. Step 6: Final answer
    x = 22,161.82

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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.