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Finding the Fourth Proportional to 2,609.84, 3,601.68 and 1,430.96

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Solution

The fourth proportional to 2,609.84, 3,601.68 and 1,430.96 is: 1,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.84 : 3,601.68 = 1,430.96 : x
  2. Step 2: Convert to fraction form
    2,609.84/3,601.68 = 1,430.96/x
  3. Step 3: Cross multiply
    2,609.84x = 3,601.68 × 1,430.96
  4. Step 4: Simplify right side
    2,609.84x = 5,153,842.00
  5. Step 5: Solve for x
    x = 5,153,842.00/2,609.84
  6. Step 6: Final answer
    x = 1,974.78

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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.