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Finding the Fourth Proportional to 4,939.92, 7,417.26 and 3,102.66

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Solution

The fourth proportional to 4,939.92, 7,417.26 and 3,102.66 is: 4,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.92 : 7,417.26 = 3,102.66 : x
  2. Step 2: Convert to fraction form
    4,939.92/7,417.26 = 3,102.66/x
  3. Step 3: Cross multiply
    4,939.92x = 7,417.26 × 3,102.66
  4. Step 4: Simplify right side
    4,939.92x = 23,013,235.91
  5. Step 5: Solve for x
    x = 23,013,235.91/4,939.92
  6. Step 6: Final answer
    x = 4,658.63

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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.