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Finding the Fourth Proportional to 21,353.80, 32,030.70 and 8,206.60

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Solution

The fourth proportional to 21,353.80, 32,030.70 and 8,206.60 is: 12,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,353.80 : 32,030.70 = 8,206.60 : x
  2. Step 2: Convert to fraction form
    21,353.80/32,030.70 = 8,206.60/x
  3. Step 3: Cross multiply
    21,353.80x = 32,030.70 × 8,206.60
  4. Step 4: Simplify right side
    21,353.80x = 262,863,142.62
  5. Step 5: Solve for x
    x = 262,863,142.62/21,353.80
  6. Step 6: Final answer
    x = 12,309.90

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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.