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Finding the Fourth Proportional to 2,405.97, 3,609.50 and 945.14

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Solution

The fourth proportional to 2,405.97, 3,609.50 and 945.14 is: 1,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.97 : 3,609.50 = 945.14 : x
  2. Step 2: Convert to fraction form
    2,405.97/3,609.50 = 945.14/x
  3. Step 3: Cross multiply
    2,405.97x = 3,609.50 × 945.14
  4. Step 4: Simplify right side
    2,405.97x = 3,411,460.06
  5. Step 5: Solve for x
    x = 3,411,460.06/2,405.97
  6. Step 6: Final answer
    x = 1,417.91

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1.5x scale

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.