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Finding the Fourth Proportional to 1,436.62, 2,156.10 and 743.49

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Solution

The fourth proportional to 1,436.62, 2,156.10 and 743.49 is: 1,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.62 : 2,156.10 = 743.49 : x
  2. Step 2: Convert to fraction form
    1,436.62/2,156.10 = 743.49/x
  3. Step 3: Cross multiply
    1,436.62x = 2,156.10 × 743.49
  4. Step 4: Simplify right side
    1,436.62x = 1,603,038.79
  5. Step 5: Solve for x
    x = 1,603,038.79/1,436.62
  6. Step 6: Final answer
    x = 1,115.84

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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.