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Finding the Fourth Proportional to 2,991, 4,128.12 and 1,732.86

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Solution

The fourth proportional to 2,991, 4,128.12 and 1,732.86 is: 2,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991 : 4,128.12 = 1,732.86 : x
  2. Step 2: Convert to fraction form
    2,991/4,128.12 = 1,732.86/x
  3. Step 3: Cross multiply
    2,991x = 4,128.12 × 1,732.86
  4. Step 4: Simplify right side
    2,991x = 7,153,454.02
  5. Step 5: Solve for x
    x = 7,153,454.02/2,991
  6. Step 6: Final answer
    x = 2,391.66

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1.5x scale

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.