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Finding the Fourth Proportional to 3,421.44, 5,131.84 and 956.48

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Solution

The fourth proportional to 3,421.44, 5,131.84 and 956.48 is: 1,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.44 : 5,131.84 = 956.48 : x
  2. Step 2: Convert to fraction form
    3,421.44/5,131.84 = 956.48/x
  3. Step 3: Cross multiply
    3,421.44x = 5,131.84 × 956.48
  4. Step 4: Simplify right side
    3,421.44x = 4,908,502.32
  5. Step 5: Solve for x
    x = 4,908,502.32/3,421.44
  6. Step 6: Final answer
    x = 1,434.63

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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.