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Finding the Fourth Proportional to 1,347.62, 1,855.41 and 1,150.34

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Solution

The fourth proportional to 1,347.62, 1,855.41 and 1,150.34 is: 1,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.62 : 1,855.41 = 1,150.34 : x
  2. Step 2: Convert to fraction form
    1,347.62/1,855.41 = 1,150.34/x
  3. Step 3: Cross multiply
    1,347.62x = 1,855.41 × 1,150.34
  4. Step 4: Simplify right side
    1,347.62x = 2,134,343.06
  5. Step 5: Solve for x
    x = 2,134,343.06/1,347.62
  6. Step 6: Final answer
    x = 1,583.79

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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.