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Finding the Fourth Proportional to 2,609.64, 3,913.74 and 760.32

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Solution

The fourth proportional to 2,609.64, 3,913.74 and 760.32 is: 1,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.64 : 3,913.74 = 760.32 : x
  2. Step 2: Convert to fraction form
    2,609.64/3,913.74 = 760.32/x
  3. Step 3: Cross multiply
    2,609.64x = 3,913.74 × 760.32
  4. Step 4: Simplify right side
    2,609.64x = 2,975,694.80
  5. Step 5: Solve for x
    x = 2,975,694.80/2,609.64
  6. Step 6: Final answer
    x = 1,140.27

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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.