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Finding the Fourth Proportional to 3,499.76, 4,830.18 and 2,649.80

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Solution

The fourth proportional to 3,499.76, 4,830.18 and 2,649.80 is: 3,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.76 : 4,830.18 = 2,649.80 : x
  2. Step 2: Convert to fraction form
    3,499.76/4,830.18 = 2,649.80/x
  3. Step 3: Cross multiply
    3,499.76x = 4,830.18 × 2,649.80
  4. Step 4: Simplify right side
    3,499.76x = 12,799,010.96
  5. Step 5: Solve for x
    x = 12,799,010.96/3,499.76
  6. Step 6: Final answer
    x = 3,657.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.