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Finding the Fourth Proportional to 2,256.52, 3,384.76 and 958.90

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Solution

The fourth proportional to 2,256.52, 3,384.76 and 958.90 is: 1,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.52 : 3,384.76 = 958.90 : x
  2. Step 2: Convert to fraction form
    2,256.52/3,384.76 = 958.90/x
  3. Step 3: Cross multiply
    2,256.52x = 3,384.76 × 958.90
  4. Step 4: Simplify right side
    2,256.52x = 3,245,646.36
  5. Step 5: Solve for x
    x = 3,245,646.36/2,256.52
  6. Step 6: Final answer
    x = 1,438.34

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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.