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Finding the Fourth Proportional to 20,476.80, 30,715.20 and 13,478.40

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Solution

The fourth proportional to 20,476.80, 30,715.20 and 13,478.40 is: 20,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.80 : 30,715.20 = 13,478.40 : x
  2. Step 2: Convert to fraction form
    20,476.80/30,715.20 = 13,478.40/x
  3. Step 3: Cross multiply
    20,476.80x = 30,715.20 × 13,478.40
  4. Step 4: Simplify right side
    20,476.80x = 413,991,751.68
  5. Step 5: Solve for x
    x = 413,991,751.68/20,476.80
  6. Step 6: Final answer
    x = 20,217.60

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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.