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Finding the Fourth Proportional to 2,553.81, 3,830.74 and 1,398.93

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Solution

The fourth proportional to 2,553.81, 3,830.74 and 1,398.93 is: 2,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.81 : 3,830.74 = 1,398.93 : x
  2. Step 2: Convert to fraction form
    2,553.81/3,830.74 = 1,398.93/x
  3. Step 3: Cross multiply
    2,553.81x = 3,830.74 × 1,398.93
  4. Step 4: Simplify right side
    2,553.81x = 5,358,930.11
  5. Step 5: Solve for x
    x = 5,358,930.11/2,553.81
  6. Step 6: Final answer
    x = 2,098.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.