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Finding the Fourth Proportional to 2,749.86, 4,125.54 and 995.07

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Solution

The fourth proportional to 2,749.86, 4,125.54 and 995.07 is: 1,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.86 : 4,125.54 = 995.07 : x
  2. Step 2: Convert to fraction form
    2,749.86/4,125.54 = 995.07/x
  3. Step 3: Cross multiply
    2,749.86x = 4,125.54 × 995.07
  4. Step 4: Simplify right side
    2,749.86x = 4,105,201.09
  5. Step 5: Solve for x
    x = 4,105,201.09/2,749.86
  6. Step 6: Final answer
    x = 1,492.88

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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.