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Finding the Fourth Proportional to 2,053.14, 3,078 and 1,402.98

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Solution

The fourth proportional to 2,053.14, 3,078 and 1,402.98 is: 2,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.14 : 3,078 = 1,402.98 : x
  2. Step 2: Convert to fraction form
    2,053.14/3,078 = 1,402.98/x
  3. Step 3: Cross multiply
    2,053.14x = 3,078 × 1,402.98
  4. Step 4: Simplify right side
    2,053.14x = 4,318,372.44
  5. Step 5: Solve for x
    x = 4,318,372.44/2,053.14
  6. Step 6: Final answer
    x = 2,103.30

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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.