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Finding the Fourth Proportional to 3,610, 4,980.84 and 2,429

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Solution

The fourth proportional to 3,610, 4,980.84 and 2,429 is: 3,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610 : 4,980.84 = 2,429 : x
  2. Step 2: Convert to fraction form
    3,610/4,980.84 = 2,429/x
  3. Step 3: Cross multiply
    3,610x = 4,980.84 × 2,429
  4. Step 4: Simplify right side
    3,610x = 12,098,460.36
  5. Step 5: Solve for x
    x = 12,098,460.36/3,610
  6. Step 6: Final answer
    x = 3,351.37

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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.