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Finding the Fourth Proportional to 10,209.93, 15,319.94 and 4,949.37

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Solution

The fourth proportional to 10,209.93, 15,319.94 and 4,949.37 is: 7,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.93 : 15,319.94 = 4,949.37 : x
  2. Step 2: Convert to fraction form
    10,209.93/15,319.94 = 4,949.37/x
  3. Step 3: Cross multiply
    10,209.93x = 15,319.94 × 4,949.37
  4. Step 4: Simplify right side
    10,209.93x = 75,824,026.69
  5. Step 5: Solve for x
    x = 75,824,026.69/10,209.93
  6. Step 6: Final answer
    x = 7,426.50

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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.