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Finding the Fourth Proportional to 2,892.81, 3,990.62 and 1,897.95

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Solution

The fourth proportional to 2,892.81, 3,990.62 and 1,897.95 is: 2,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.81 : 3,990.62 = 1,897.95 : x
  2. Step 2: Convert to fraction form
    2,892.81/3,990.62 = 1,897.95/x
  3. Step 3: Cross multiply
    2,892.81x = 3,990.62 × 1,897.95
  4. Step 4: Simplify right side
    2,892.81x = 7,574,001.97
  5. Step 5: Solve for x
    x = 7,574,001.97/2,892.81
  6. Step 6: Final answer
    x = 2,618.22

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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.