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Finding the Fourth Proportional to 2,609.64, 3,914.58 and 1,310.64

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Solution

The fourth proportional to 2,609.64, 3,914.58 and 1,310.64 is: 1,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.64 : 3,914.58 = 1,310.64 : x
  2. Step 2: Convert to fraction form
    2,609.64/3,914.58 = 1,310.64/x
  3. Step 3: Cross multiply
    2,609.64x = 3,914.58 × 1,310.64
  4. Step 4: Simplify right side
    2,609.64x = 5,130,605.13
  5. Step 5: Solve for x
    x = 5,130,605.13/2,609.64
  6. Step 6: Final answer
    x = 1,966.02

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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.