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Finding the Fourth Proportional to 3,880.36, 5,820.54 and 958.72

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Solution

The fourth proportional to 3,880.36, 5,820.54 and 958.72 is: 1,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.36 : 5,820.54 = 958.72 : x
  2. Step 2: Convert to fraction form
    3,880.36/5,820.54 = 958.72/x
  3. Step 3: Cross multiply
    3,880.36x = 5,820.54 × 958.72
  4. Step 4: Simplify right side
    3,880.36x = 5,580,268.11
  5. Step 5: Solve for x
    x = 5,580,268.11/3,880.36
  6. Step 6: Final answer
    x = 1,438.08

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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.