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Finding the Fourth Proportional to 20,047.60, 30,013.80 and 12,271.60

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Solution

The fourth proportional to 20,047.60, 30,013.80 and 12,271.60 is: 18,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.60 : 30,013.80 = 12,271.60 : x
  2. Step 2: Convert to fraction form
    20,047.60/30,013.80 = 12,271.60/x
  3. Step 3: Cross multiply
    20,047.60x = 30,013.80 × 12,271.60
  4. Step 4: Simplify right side
    20,047.60x = 368,317,348.08
  5. Step 5: Solve for x
    x = 368,317,348.08/20,047.60
  6. Step 6: Final answer
    x = 18,372.14

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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.