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Finding the Fourth Proportional to 1,375, 1,897.50 and 851.56

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Solution

The fourth proportional to 1,375, 1,897.50 and 851.56 is: 1,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375 : 1,897.50 = 851.56 : x
  2. Step 2: Convert to fraction form
    1,375/1,897.50 = 851.56/x
  3. Step 3: Cross multiply
    1,375x = 1,897.50 × 851.56
  4. Step 4: Simplify right side
    1,375x = 1,615,835.10
  5. Step 5: Solve for x
    x = 1,615,835.10/1,375
  6. Step 6: Final answer
    x = 1,175.15

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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.