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Finding the Fourth Proportional to 2,521.84, 3,786.48 and 1,980.64

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Solution

The fourth proportional to 2,521.84, 3,786.48 and 1,980.64 is: 2,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.84 : 3,786.48 = 1,980.64 : x
  2. Step 2: Convert to fraction form
    2,521.84/3,786.48 = 1,980.64/x
  3. Step 3: Cross multiply
    2,521.84x = 3,786.48 × 1,980.64
  4. Step 4: Simplify right side
    2,521.84x = 7,499,653.75
  5. Step 5: Solve for x
    x = 7,499,653.75/2,521.84
  6. Step 6: Final answer
    x = 2,973.88

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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.