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Finding the Fourth Proportional to 2,584.64, 3,562.68 and 1,980.38

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Solution

The fourth proportional to 2,584.64, 3,562.68 and 1,980.38 is: 2,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.64 : 3,562.68 = 1,980.38 : x
  2. Step 2: Convert to fraction form
    2,584.64/3,562.68 = 1,980.38/x
  3. Step 3: Cross multiply
    2,584.64x = 3,562.68 × 1,980.38
  4. Step 4: Simplify right side
    2,584.64x = 7,055,460.22
  5. Step 5: Solve for x
    x = 7,055,460.22/2,584.64
  6. Step 6: Final answer
    x = 2,729.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.