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Finding the Fourth Proportional to 4,073.20, 6,109.80 and 995.20

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Solution

The fourth proportional to 4,073.20, 6,109.80 and 995.20 is: 1,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.20 : 6,109.80 = 995.20 : x
  2. Step 2: Convert to fraction form
    4,073.20/6,109.80 = 995.20/x
  3. Step 3: Cross multiply
    4,073.20x = 6,109.80 × 995.20
  4. Step 4: Simplify right side
    4,073.20x = 6,080,472.96
  5. Step 5: Solve for x
    x = 6,080,472.96/4,073.20
  6. Step 6: Final answer
    x = 1,492.80

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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.