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Finding the Fourth Proportional to 2,129.86, 2,939.35 and 1,185.64

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Solution

The fourth proportional to 2,129.86, 2,939.35 and 1,185.64 is: 1,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.86 : 2,939.35 = 1,185.64 : x
  2. Step 2: Convert to fraction form
    2,129.86/2,939.35 = 1,185.64/x
  3. Step 3: Cross multiply
    2,129.86x = 2,939.35 × 1,185.64
  4. Step 4: Simplify right side
    2,129.86x = 3,485,000.62
  5. Step 5: Solve for x
    x = 3,485,000.62/2,129.86
  6. Step 6: Final answer
    x = 1,636.26

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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.