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Finding the Fourth Proportional to 2,419.35, 3,629.64 and 958.32

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Solution

The fourth proportional to 2,419.35, 3,629.64 and 958.32 is: 1,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.35 : 3,629.64 = 958.32 : x
  2. Step 2: Convert to fraction form
    2,419.35/3,629.64 = 958.32/x
  3. Step 3: Cross multiply
    2,419.35x = 3,629.64 × 958.32
  4. Step 4: Simplify right side
    2,419.35x = 3,478,356.60
  5. Step 5: Solve for x
    x = 3,478,356.60/2,419.35
  6. Step 6: Final answer
    x = 1,437.72

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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.