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Finding the Fourth Proportional to 6,498.54, 9,740.25 and 4,159.80

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Solution

The fourth proportional to 6,498.54, 9,740.25 and 4,159.80 is: 6,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.54 : 9,740.25 = 4,159.80 : x
  2. Step 2: Convert to fraction form
    6,498.54/9,740.25 = 4,159.80/x
  3. Step 3: Cross multiply
    6,498.54x = 9,740.25 × 4,159.80
  4. Step 4: Simplify right side
    6,498.54x = 40,517,491.95
  5. Step 5: Solve for x
    x = 40,517,491.95/6,498.54
  6. Step 6: Final answer
    x = 6,234.86

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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.