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Finding the Fourth Proportional to 2,602.98, 3,900.34 and 2,113.64

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Solution

The fourth proportional to 2,602.98, 3,900.34 and 2,113.64 is: 3,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.98 : 3,900.34 = 2,113.64 : x
  2. Step 2: Convert to fraction form
    2,602.98/3,900.34 = 2,113.64/x
  3. Step 3: Cross multiply
    2,602.98x = 3,900.34 × 2,113.64
  4. Step 4: Simplify right side
    2,602.98x = 8,243,914.64
  5. Step 5: Solve for x
    x = 8,243,914.64/2,602.98
  6. Step 6: Final answer
    x = 3,167.11

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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.