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Finding the Fourth Proportional to 2,609.13, 3,913.81 and 854.24

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Solution

The fourth proportional to 2,609.13, 3,913.81 and 854.24 is: 1,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.13 : 3,913.81 = 854.24 : x
  2. Step 2: Convert to fraction form
    2,609.13/3,913.81 = 854.24/x
  3. Step 3: Cross multiply
    2,609.13x = 3,913.81 × 854.24
  4. Step 4: Simplify right side
    2,609.13x = 3,343,313.49
  5. Step 5: Solve for x
    x = 3,343,313.49/2,609.13
  6. Step 6: Final answer
    x = 1,281.39

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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.