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Finding the Fourth Proportional to 3,965.20, 5,943.48 and 1,654

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Solution

The fourth proportional to 3,965.20, 5,943.48 and 1,654 is: 2,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.20 : 5,943.48 = 1,654 : x
  2. Step 2: Convert to fraction form
    3,965.20/5,943.48 = 1,654/x
  3. Step 3: Cross multiply
    3,965.20x = 5,943.48 × 1,654
  4. Step 4: Simplify right side
    3,965.20x = 9,830,515.92
  5. Step 5: Solve for x
    x = 9,830,515.92/3,965.20
  6. Step 6: Final answer
    x = 2,479.20

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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.