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Finding the Fourth Proportional to 2,614.16, 3,921.29 and 859.25

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Solution

The fourth proportional to 2,614.16, 3,921.29 and 859.25 is: 1,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.16 : 3,921.29 = 859.25 : x
  2. Step 2: Convert to fraction form
    2,614.16/3,921.29 = 859.25/x
  3. Step 3: Cross multiply
    2,614.16x = 3,921.29 × 859.25
  4. Step 4: Simplify right side
    2,614.16x = 3,369,368.43
  5. Step 5: Solve for x
    x = 3,369,368.43/2,614.16
  6. Step 6: Final answer
    x = 1,288.89

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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.