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Finding the Fourth Proportional to 1,376, 1,897.92 and 851.12

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Solution

The fourth proportional to 1,376, 1,897.92 and 851.12 is: 1,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376 : 1,897.92 = 851.12 : x
  2. Step 2: Convert to fraction form
    1,376/1,897.92 = 851.12/x
  3. Step 3: Cross multiply
    1,376x = 1,897.92 × 851.12
  4. Step 4: Simplify right side
    1,376x = 1,615,357.67
  5. Step 5: Solve for x
    x = 1,615,357.67/1,376
  6. Step 6: Final answer
    x = 1,173.95

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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.