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Finding the Fourth Proportional to 2,957.00, 4,080.74 and 1,630.80

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Solution

The fourth proportional to 2,957.00, 4,080.74 and 1,630.80 is: 2,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.00 : 4,080.74 = 1,630.80 : x
  2. Step 2: Convert to fraction form
    2,957.00/4,080.74 = 1,630.80/x
  3. Step 3: Cross multiply
    2,957.00x = 4,080.74 × 1,630.80
  4. Step 4: Simplify right side
    2,957.00x = 6,654,862.64
  5. Step 5: Solve for x
    x = 6,654,862.64/2,957.00
  6. Step 6: Final answer
    x = 2,250.55

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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.