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Finding the Fourth Proportional to 2,407.96, 3,609.30 and 847.06

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Solution

The fourth proportional to 2,407.96, 3,609.30 and 847.06 is: 1,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.96 : 3,609.30 = 847.06 : x
  2. Step 2: Convert to fraction form
    2,407.96/3,609.30 = 847.06/x
  3. Step 3: Cross multiply
    2,407.96x = 3,609.30 × 847.06
  4. Step 4: Simplify right side
    2,407.96x = 3,057,293.66
  5. Step 5: Solve for x
    x = 3,057,293.66/2,407.96
  6. Step 6: Final answer
    x = 1,269.66

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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.