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Finding the Fourth Proportional to 2,609.04, 3,913.68 and 877.68

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Solution

The fourth proportional to 2,609.04, 3,913.68 and 877.68 is: 1,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.04 : 3,913.68 = 877.68 : x
  2. Step 2: Convert to fraction form
    2,609.04/3,913.68 = 877.68/x
  3. Step 3: Cross multiply
    2,609.04x = 3,913.68 × 877.68
  4. Step 4: Simplify right side
    2,609.04x = 3,434,958.66
  5. Step 5: Solve for x
    x = 3,434,958.66/2,609.04
  6. Step 6: Final answer
    x = 1,316.56

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Similar ratio
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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.