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Finding the Fourth Proportional to 9,802, 14,703 and 2,876.50

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Solution

The fourth proportional to 9,802, 14,703 and 2,876.50 is: 4,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802 : 14,703 = 2,876.50 : x
  2. Step 2: Convert to fraction form
    9,802/14,703 = 2,876.50/x
  3. Step 3: Cross multiply
    9,802x = 14,703 × 2,876.50
  4. Step 4: Simplify right side
    9,802x = 42,293,179.50
  5. Step 5: Solve for x
    x = 42,293,179.50/9,802
  6. Step 6: Final answer
    x = 4,314.75

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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.