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Finding the Fourth Proportional to 9,828, 14,744.43 and 2,902.50

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Solution

The fourth proportional to 9,828, 14,744.43 and 2,902.50 is: 4,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 14,744.43 = 2,902.50 : x
  2. Step 2: Convert to fraction form
    9,828/14,744.43 = 2,902.50/x
  3. Step 3: Cross multiply
    9,828x = 14,744.43 × 2,902.50
  4. Step 4: Simplify right side
    9,828x = 42,795,708.08
  5. Step 5: Solve for x
    x = 42,795,708.08/9,828
  6. Step 6: Final answer
    x = 4,354.47

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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.