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Finding the Fourth Proportional to 1,497, 2,236.84 and 1,143.64

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Solution

The fourth proportional to 1,497, 2,236.84 and 1,143.64 is: 1,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497 : 2,236.84 = 1,143.64 : x
  2. Step 2: Convert to fraction form
    1,497/2,236.84 = 1,143.64/x
  3. Step 3: Cross multiply
    1,497x = 2,236.84 × 1,143.64
  4. Step 4: Simplify right side
    1,497x = 2,558,139.70
  5. Step 5: Solve for x
    x = 2,558,139.70/1,497
  6. Step 6: Final answer
    x = 1,708.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.