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Finding the Fourth Proportional to 2,891.93, 3,989.79 and 1,897.76

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Solution

The fourth proportional to 2,891.93, 3,989.79 and 1,897.76 is: 2,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.93 : 3,989.79 = 1,897.76 : x
  2. Step 2: Convert to fraction form
    2,891.93/3,989.79 = 1,897.76/x
  3. Step 3: Cross multiply
    2,891.93x = 3,989.79 × 1,897.76
  4. Step 4: Simplify right side
    2,891.93x = 7,571,643.92
  5. Step 5: Solve for x
    x = 7,571,643.92/2,891.93
  6. Step 6: Final answer
    x = 2,618.20

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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.