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Finding the Fourth Proportional to 2,419.40, 3,629.10 and 859.42

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Solution

The fourth proportional to 2,419.40, 3,629.10 and 859.42 is: 1,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.40 : 3,629.10 = 859.42 : x
  2. Step 2: Convert to fraction form
    2,419.40/3,629.10 = 859.42/x
  3. Step 3: Cross multiply
    2,419.40x = 3,629.10 × 859.42
  4. Step 4: Simplify right side
    2,419.40x = 3,118,921.12
  5. Step 5: Solve for x
    x = 3,118,921.12/2,419.40
  6. Step 6: Final answer
    x = 1,289.13

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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.