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Finding the Fourth Proportional to 2,957, 4,080.64 and 1,630.74

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Solution

The fourth proportional to 2,957, 4,080.64 and 1,630.74 is: 2,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957 : 4,080.64 = 1,630.74 : x
  2. Step 2: Convert to fraction form
    2,957/4,080.64 = 1,630.74/x
  3. Step 3: Cross multiply
    2,957x = 4,080.64 × 1,630.74
  4. Step 4: Simplify right side
    2,957x = 6,654,462.87
  5. Step 5: Solve for x
    x = 6,654,462.87/2,957
  6. Step 6: Final answer
    x = 2,250.41

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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.