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Finding the Fourth Proportional to 1,602.26, 2,411.90 and 1,143.21

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Solution

The fourth proportional to 1,602.26, 2,411.90 and 1,143.21 is: 1,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.26 : 2,411.90 = 1,143.21 : x
  2. Step 2: Convert to fraction form
    1,602.26/2,411.90 = 1,143.21/x
  3. Step 3: Cross multiply
    1,602.26x = 2,411.90 × 1,143.21
  4. Step 4: Simplify right side
    1,602.26x = 2,757,302.48
  5. Step 5: Solve for x
    x = 2,757,302.48/1,602.26
  6. Step 6: Final answer
    x = 1,720.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.