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Finding the Fourth Proportional to 2,645.64, 3,647.43 and 2,271

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Solution

The fourth proportional to 2,645.64, 3,647.43 and 2,271 is: 3,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.64 : 3,647.43 = 2,271 : x
  2. Step 2: Convert to fraction form
    2,645.64/3,647.43 = 2,271/x
  3. Step 3: Cross multiply
    2,645.64x = 3,647.43 × 2,271
  4. Step 4: Simplify right side
    2,645.64x = 8,283,313.53
  5. Step 5: Solve for x
    x = 8,283,313.53/2,645.64
  6. Step 6: Final answer
    x = 3,130.93

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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.