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Finding the Fourth Proportional to 3,389.82, 4,677.93 and 1,897.73

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Solution

The fourth proportional to 3,389.82, 4,677.93 and 1,897.73 is: 2,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.82 : 4,677.93 = 1,897.73 : x
  2. Step 2: Convert to fraction form
    3,389.82/4,677.93 = 1,897.73/x
  3. Step 3: Cross multiply
    3,389.82x = 4,677.93 × 1,897.73
  4. Step 4: Simplify right side
    3,389.82x = 8,877,448.10
  5. Step 5: Solve for x
    x = 8,877,448.10/3,389.82
  6. Step 6: Final answer
    x = 2,618.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.