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Finding the Fourth Proportional to 9,797.20, 14,690.40 and 3,947.20

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Solution

The fourth proportional to 9,797.20, 14,690.40 and 3,947.20 is: 5,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.20 : 14,690.40 = 3,947.20 : x
  2. Step 2: Convert to fraction form
    9,797.20/14,690.40 = 3,947.20/x
  3. Step 3: Cross multiply
    9,797.20x = 14,690.40 × 3,947.20
  4. Step 4: Simplify right side
    9,797.20x = 57,985,946.88
  5. Step 5: Solve for x
    x = 57,985,946.88/9,797.20
  6. Step 6: Final answer
    x = 5,918.62

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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.