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Finding the Fourth Proportional to 20,762.46, 28,644.03 and 13,206.78

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Solution

The fourth proportional to 20,762.46, 28,644.03 and 13,206.78 is: 18,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.46 : 28,644.03 = 13,206.78 : x
  2. Step 2: Convert to fraction form
    20,762.46/28,644.03 = 13,206.78/x
  3. Step 3: Cross multiply
    20,762.46x = 28,644.03 × 13,206.78
  4. Step 4: Simplify right side
    20,762.46x = 378,295,402.52
  5. Step 5: Solve for x
    x = 378,295,402.52/20,762.46
  6. Step 6: Final answer
    x = 18,220.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.