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Finding the Fourth Proportional to 28,902.84, 43,355.15 and 7,842.80

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Solution

The fourth proportional to 28,902.84, 43,355.15 and 7,842.80 is: 11,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,902.84 : 43,355.15 = 7,842.80 : x
  2. Step 2: Convert to fraction form
    28,902.84/43,355.15 = 7,842.80/x
  3. Step 3: Cross multiply
    28,902.84x = 43,355.15 × 7,842.80
  4. Step 4: Simplify right side
    28,902.84x = 340,025,770.42
  5. Step 5: Solve for x
    x = 340,025,770.42/28,902.84
  6. Step 6: Final answer
    x = 11,764.44

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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.