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Finding the Fourth Proportional to 9,808.20, 14,709.60 and 3,965.40

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Solution

The fourth proportional to 9,808.20, 14,709.60 and 3,965.40 is: 5,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.20 : 14,709.60 = 3,965.40 : x
  2. Step 2: Convert to fraction form
    9,808.20/14,709.60 = 3,965.40/x
  3. Step 3: Cross multiply
    9,808.20x = 14,709.60 × 3,965.40
  4. Step 4: Simplify right side
    9,808.20x = 58,329,447.84
  5. Step 5: Solve for x
    x = 58,329,447.84/9,808.20
  6. Step 6: Final answer
    x = 5,947.01

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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.