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Finding the Fourth Proportional to 2,835.74, 3,913.20 and 1,576.88

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Solution

The fourth proportional to 2,835.74, 3,913.20 and 1,576.88 is: 2,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.74 : 3,913.20 = 1,576.88 : x
  2. Step 2: Convert to fraction form
    2,835.74/3,913.20 = 1,576.88/x
  3. Step 3: Cross multiply
    2,835.74x = 3,913.20 × 1,576.88
  4. Step 4: Simplify right side
    2,835.74x = 6,170,646.82
  5. Step 5: Solve for x
    x = 6,170,646.82/2,835.74
  6. Step 6: Final answer
    x = 2,176.03

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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.