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Finding the Fourth Proportional to 3,613.58, 5,421 and 1,274.94

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Solution

The fourth proportional to 3,613.58, 5,421 and 1,274.94 is: 1,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.58 : 5,421 = 1,274.94 : x
  2. Step 2: Convert to fraction form
    3,613.58/5,421 = 1,274.94/x
  3. Step 3: Cross multiply
    3,613.58x = 5,421 × 1,274.94
  4. Step 4: Simplify right side
    3,613.58x = 6,911,449.74
  5. Step 5: Solve for x
    x = 6,911,449.74/3,613.58
  6. Step 6: Final answer
    x = 1,912.63

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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.