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Finding the Fourth Proportional to 28,902.09, 43,354.05 and 7,842.07

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Solution

The fourth proportional to 28,902.09, 43,354.05 and 7,842.07 is: 11,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,902.09 : 43,354.05 = 7,842.07 : x
  2. Step 2: Convert to fraction form
    28,902.09/43,354.05 = 7,842.07/x
  3. Step 3: Cross multiply
    28,902.09x = 43,354.05 × 7,842.07
  4. Step 4: Simplify right side
    28,902.09x = 339,985,519.67
  5. Step 5: Solve for x
    x = 339,985,519.67/28,902.09
  6. Step 6: Final answer
    x = 11,763.35

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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.