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Finding the Fourth Proportional to 20,478.70, 30,645.15 and 14,209.30

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Solution

The fourth proportional to 20,478.70, 30,645.15 and 14,209.30 is: 21,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.70 : 30,645.15 = 14,209.30 : x
  2. Step 2: Convert to fraction form
    20,478.70/30,645.15 = 14,209.30/x
  3. Step 3: Cross multiply
    20,478.70x = 30,645.15 × 14,209.30
  4. Step 4: Simplify right side
    20,478.70x = 435,446,129.90
  5. Step 5: Solve for x
    x = 435,446,129.90/20,478.70
  6. Step 6: Final answer
    x = 21,263.37

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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.