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Finding the Fourth Proportional to 20,222.40, 30,322.80 and 8,522.40

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Solution

The fourth proportional to 20,222.40, 30,322.80 and 8,522.40 is: 12,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.40 : 30,322.80 = 8,522.40 : x
  2. Step 2: Convert to fraction form
    20,222.40/30,322.80 = 8,522.40/x
  3. Step 3: Cross multiply
    20,222.40x = 30,322.80 × 8,522.40
  4. Step 4: Simplify right side
    20,222.40x = 258,423,030.72
  5. Step 5: Solve for x
    x = 258,423,030.72/20,222.40
  6. Step 6: Final answer
    x = 12,779.05

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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.