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Finding the Fourth Proportional to 2,406.09, 3,609.04 and 945.16

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Solution

The fourth proportional to 2,406.09, 3,609.04 and 945.16 is: 1,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.09 : 3,609.04 = 945.16 : x
  2. Step 2: Convert to fraction form
    2,406.09/3,609.04 = 945.16/x
  3. Step 3: Cross multiply
    2,406.09x = 3,609.04 × 945.16
  4. Step 4: Simplify right side
    2,406.09x = 3,411,120.25
  5. Step 5: Solve for x
    x = 3,411,120.25/2,406.09
  6. Step 6: Final answer
    x = 1,417.70

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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.