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Finding the Fourth Proportional to 1,375.09, 1,897.45 and 850.93

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Solution

The fourth proportional to 1,375.09, 1,897.45 and 850.93 is: 1,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.09 : 1,897.45 = 850.93 : x
  2. Step 2: Convert to fraction form
    1,375.09/1,897.45 = 850.93/x
  3. Step 3: Cross multiply
    1,375.09x = 1,897.45 × 850.93
  4. Step 4: Simplify right side
    1,375.09x = 1,614,597.13
  5. Step 5: Solve for x
    x = 1,614,597.13/1,375.09
  6. Step 6: Final answer
    x = 1,174.18

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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.