Home / 3,499-4,828.20-2,006.84

Finding the Fourth Proportional to 3,499, 4,828.20 and 2,006.84

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Solution

The fourth proportional to 3,499, 4,828.20 and 2,006.84 is: 2,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499 : 4,828.20 = 2,006.84 : x
  2. Step 2: Convert to fraction form
    3,499/4,828.20 = 2,006.84/x
  3. Step 3: Cross multiply
    3,499x = 4,828.20 × 2,006.84
  4. Step 4: Simplify right side
    3,499x = 9,689,424.89
  5. Step 5: Solve for x
    x = 9,689,424.89/3,499
  6. Step 6: Final answer
    x = 2,769.20

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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.