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Finding the Fourth Proportional to 1,613.71, 2,421.42 and 834.04

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Solution

The fourth proportional to 1,613.71, 2,421.42 and 834.04 is: 1,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.71 : 2,421.42 = 834.04 : x
  2. Step 2: Convert to fraction form
    1,613.71/2,421.42 = 834.04/x
  3. Step 3: Cross multiply
    1,613.71x = 2,421.42 × 834.04
  4. Step 4: Simplify right side
    1,613.71x = 2,019,561.14
  5. Step 5: Solve for x
    x = 2,019,561.14/1,613.71
  6. Step 6: Final answer
    x = 1,251.50

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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.