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Finding the Fourth Proportional to 2,649.55, 3,977.09 and 1,957.00

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Solution

The fourth proportional to 2,649.55, 3,977.09 and 1,957.00 is: 2,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.55 : 3,977.09 = 1,957.00 : x
  2. Step 2: Convert to fraction form
    2,649.55/3,977.09 = 1,957.00/x
  3. Step 3: Cross multiply
    2,649.55x = 3,977.09 × 1,957.00
  4. Step 4: Simplify right side
    2,649.55x = 7,783,135.46
  5. Step 5: Solve for x
    x = 7,783,135.46/2,649.55
  6. Step 6: Final answer
    x = 2,937.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.