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Finding the Fourth Proportional to 2,956.50, 4,080 and 1,777.59

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Solution

The fourth proportional to 2,956.50, 4,080 and 1,777.59 is: 2,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.50 : 4,080 = 1,777.59 : x
  2. Step 2: Convert to fraction form
    2,956.50/4,080 = 1,777.59/x
  3. Step 3: Cross multiply
    2,956.50x = 4,080 × 1,777.59
  4. Step 4: Simplify right side
    2,956.50x = 7,252,567.20
  5. Step 5: Solve for x
    x = 7,252,567.20/2,956.50
  6. Step 6: Final answer
    x = 2,453.09

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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.