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Finding the Fourth Proportional to 6,461.94, 9,691.29 and 2,078.22

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Solution

The fourth proportional to 6,461.94, 9,691.29 and 2,078.22 is: 3,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.94 : 9,691.29 = 2,078.22 : x
  2. Step 2: Convert to fraction form
    6,461.94/9,691.29 = 2,078.22/x
  3. Step 3: Cross multiply
    6,461.94x = 9,691.29 × 2,078.22
  4. Step 4: Simplify right side
    6,461.94x = 20,140,632.70
  5. Step 5: Solve for x
    x = 20,140,632.70/6,461.94
  6. Step 6: Final answer
    x = 3,116.81

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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.