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Finding the Fourth Proportional to 3,421.42, 5,132.22 and 956.50

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Solution

The fourth proportional to 3,421.42, 5,132.22 and 956.50 is: 1,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.42 : 5,132.22 = 956.50 : x
  2. Step 2: Convert to fraction form
    3,421.42/5,132.22 = 956.50/x
  3. Step 3: Cross multiply
    3,421.42x = 5,132.22 × 956.50
  4. Step 4: Simplify right side
    3,421.42x = 4,908,968.43
  5. Step 5: Solve for x
    x = 4,908,968.43/3,421.42
  6. Step 6: Final answer
    x = 1,434.78

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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.