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Finding the Fourth Proportional to 1,436.64, 1,982.04 and 1,175.76

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Solution

The fourth proportional to 1,436.64, 1,982.04 and 1,175.76 is: 1,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.64 : 1,982.04 = 1,175.76 : x
  2. Step 2: Convert to fraction form
    1,436.64/1,982.04 = 1,175.76/x
  3. Step 3: Cross multiply
    1,436.64x = 1,982.04 × 1,175.76
  4. Step 4: Simplify right side
    1,436.64x = 2,330,403.35
  5. Step 5: Solve for x
    x = 2,330,403.35/1,436.64
  6. Step 6: Final answer
    x = 1,622.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.