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Finding the Fourth Proportional to 13,762.54, 20,592.78 and 8,218.90

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Solution

The fourth proportional to 13,762.54, 20,592.78 and 8,218.90 is: 12,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.54 : 20,592.78 = 8,218.90 : x
  2. Step 2: Convert to fraction form
    13,762.54/20,592.78 = 8,218.90/x
  3. Step 3: Cross multiply
    13,762.54x = 20,592.78 × 8,218.90
  4. Step 4: Simplify right side
    13,762.54x = 169,249,999.54
  5. Step 5: Solve for x
    x = 169,249,999.54/13,762.54
  6. Step 6: Final answer
    x = 12,297.88

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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.