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Finding the Fourth Proportional to 20,765.90, 31,152.90 and 8,283.80

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Solution

The fourth proportional to 20,765.90, 31,152.90 and 8,283.80 is: 12,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.90 : 31,152.90 = 8,283.80 : x
  2. Step 2: Convert to fraction form
    20,765.90/31,152.90 = 8,283.80/x
  3. Step 3: Cross multiply
    20,765.90x = 31,152.90 × 8,283.80
  4. Step 4: Simplify right side
    20,765.90x = 258,064,393.02
  5. Step 5: Solve for x
    x = 258,064,393.02/20,765.90
  6. Step 6: Final answer
    x = 12,427.32

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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.