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Finding the Fourth Proportional to 8,422.83, 12,609.80 and 4,902.11

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Solution

The fourth proportional to 8,422.83, 12,609.80 and 4,902.11 is: 7,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.83 : 12,609.80 = 4,902.11 : x
  2. Step 2: Convert to fraction form
    8,422.83/12,609.80 = 4,902.11/x
  3. Step 3: Cross multiply
    8,422.83x = 12,609.80 × 4,902.11
  4. Step 4: Simplify right side
    8,422.83x = 61,814,539.12
  5. Step 5: Solve for x
    x = 61,814,539.12/8,422.83
  6. Step 6: Final answer
    x = 7,338.93

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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.